BEGIN:VCALENDAR METHOD:PUBLISH PRODID:en-www-math-fau-de//Events//EN VERSION:2.0 BEGIN:VEVENT SUMMARY:Lie Group Seminar: P. Kinnear\, Universität Hamburg: Defects in TQFT and Skein Theory UID:7566be3d-294a-4d6e-a067-dd1c40e3d605 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#strong15062026-p-kinnear-universitaet-hamburg-defects-in-tq ft-and-skein-theory-strong DTSTART:20260615T121500Z DTEND:20260615T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: L. Schwachhöfer\, TU Dortmund: Beyond Lie Algebras: A Coadjoint Orbit Construction for Jordan (Super)structures UID:acda481f-edea-4e9b-b9ba-cce49dabb0cc DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#16062026-tuesday-1015-1145-l-schwachhoefer-tu-dortmund-beyo nd-lie-algebras-a-coadjoint-orbit-construction-for-jordan-superstructu res DTSTART:20260616T081500Z DTEND:20260616T094500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: P. Prestel\, FAU: Generalised Kuperberg Inv ariants UID:10a11d1a-e9c7-4244-a906-b777d9f24efc DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#22062026-strongp-prestel-fau-generalised-kuperberg-invarian ts-strong DTSTART:20260622T121500Z DTEND:20260622T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Palmer\, IMAR: Embedding Groups into Acy clic Groups via étale Groupoids UID:7ede92ba-6a42-4836-b760-964fa957875c DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#strong29062026-m-palmer-imar-embedding-groups-into-acyclic- groups-via-etale-groupoids-strong DTSTART:20260629T121500Z DTEND:20260629T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: Conference 62. Seminar Sophus Lie UID:2eabf514-f43b-4ab5-890e-192cd5d1ba5c DESCRIPTION:For details of the conference\, please see https://en.www. math.fau.de/conference-62-seminar-sophus-lie/ DTSTART:20261005T220000Z DTEND:20261007T220000Z LOCATION:Hörsaal H12\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: C. Bönicke\, Newcastle University: Nuclear Dimension of Groupoid C*-Algebras UID:6f51f5f6-fa3b-4cc9-9cc3-fe30919a8c5b DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_9 DTSTART:20260112T131500Z DTEND:20260112T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: T. Simon\, FAU: Regular Systems of Holomorp hic Partial Differential Equations (first lecture) UID:abcb5d40-df1f-41dc-af98-d4dd24d6d610 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_10 DTSTART:20260119T131500Z DTEND:20260119T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: T. Simon\, FAU: Regular Systems of Holomorp hic Partial Differential Equations (second lecture) UID:fee111e3-0def-40f5-8150-f56226c71d58 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_11 DTSTART:20260126T131500Z DTEND:20260126T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: L. Guo\, SIMIS: K-Theory of Ghostly Ideals for l^p-Coarsely Embeddable Spaces UID:97dc5544-147e-44db-a1f9-21ad2218f6fd DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_12 DTSTART:20260202T131500Z DTEND:20260202T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K. Krutoy\, Université Paris Cité: Biject ive Rigidity of Uniform Roe Algebras and the Injectivity of the Compar ison map UID:098b0b6c-4571-4829-89b1-96db0fe82661 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_13 DTSTART:20260227T131500Z DTEND:20260227T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Preeg\, FAU: Topology on Groups of Restr icted Operators UID:3d406de4-74ce-416b-8ec9-d52f0edcc38c DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#27042026-m-preeg-fau-strongtopology-on-groups-of-restricted -operators-strong DTSTART:20260427T121500Z DTEND:20260427T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: V. Morinelli\, Università degli Studi di R oma Tor Vergata: Modular Hamiltonian in Asymptotically Flat Spacetimes Conformal to Minkowski UID:4c332579-6a71-494f-8e6c-0af5f26a44dc DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2026/#18052026-v-morinelli-universita-degli-studi-di-roma-tor-ver gata-modular-hamiltonian-in-asymptotically-flat-spacetimes-conformal-t o-minkowski DTSTART:20260518T121500Z DTEND:20260518T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Demirdilek\, Universität Hamburg: Surfa ce Diagrams for Grothendieck-Verdier Duality UID:7f09ea32-b84c-4099-bd09-f7930c91d449 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_1 DTSTART:20251103T131500Z DTEND:20251103T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: J. Vättö\, Aalto University: Segal's Axio ms for the Massless free Boson UID:919fa6e1-cdd5-42a3-a8cb-e65d4c4ca39a DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_2 DTSTART:20251103T150000Z DTEND:20251103T170000Z LOCATION:Hörsaal H12\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: A. Sims\, University of New South Wales: Ho mology and Cohomology of Groupoids (first lecture) UID:51945dc6-60d9-4d5b-bc84-ca546b736032 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_3 DTSTART:20251110T131500Z DTEND:20251110T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: A. Sims\, University of New South Wales: Ho mology and Cohomology of Groupoids (second lecture) UID:12ef8f6f-bb69-4a61-b5b2-c6e9b04cf5f4 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_4 DTSTART:20251117T131500Z DTEND:20251117T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: A. Sims\, University of New South Wales: Ho mology and Cohomology of Groupoids (third lecture) UID:430e3ea7-2129-438a-862a-944e238635a5 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_5 DTSTART:20251124T131500Z DTEND:20251124T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: J. Bassi\, Università degli Studi di Roma Tor Vergata: On the Analytic Content of Hyperbolicity UID:83339cb0-70c9-45a2-8154-7aea2311d278 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_6 DTSTART:20251201T131500Z DTEND:20251201T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K.-H. Neeb\, FAU: A Classification of Coadj oint Orbits Carrying Gibbs Ensembles (first lecture) UID:ae23a608-1674-4101-acab-10e193b18863 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_7 DTSTART:20251208T131500Z DTEND:20251208T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K.-H. Neeb\, FAU: A Classification of Coadj oint Orbits Carrying Gibbs Ensembles (second lecture) UID:48ad7759-3600-42da-8e7b-0559c9202675 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_8 DTSTART:20251215T131500Z DTEND:20251215T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Rørdam\, University of Copenhagen: On t he Trace Simplex of a C*-Algebra and a Functional Analysis Approach to Entanglement UID:d4cd64f5-bbc8-4656-9af1-b1d6337d6067 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_4 DTSTART:20250610T121500Z DTEND:20250610T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: D. Fernandez Silvestre\, Universität Burgo s: The Hopf Algebra Dual Form as Quantum Reference Frame Transformatio ns UID:0aebe9ef-618b-4ea7-92d1-bf7c264f73c1 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_5 DTSTART:20250616T121500Z DTEND:20250616T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: D.-C. Beltita\, Romanian Academy\, Buchares t: A Groupoid Picture of Standard Forms of W*-Algebras UID:7df9fc03-72be-4d8c-badd-ebfe029346b9 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_6 DTSTART:20250630T121500Z DTEND:20250630T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: G. C. Thiang\, Peking University: Macroscop ic Quantization of Traces UID:82a06ac1-bf05-4e9a-9983-143882152d12 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_7 DTSTART:20250701T143000Z DTEND:20250701T160000Z LOCATION:Hörsaal H13\, Cauerstr. 11\, 91058 Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: J. Schober\, Brigham Young University\, Pro vo: Outgoing Monotone Geodesics of Standard Subspaces UID:f196f88d-dae2-4fd2-8ba3-cc735343a03a DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_8 DTSTART:20250707T121500Z DTEND:20250707T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Mini-workshop: Operator Algebras and Applications (Kang Li) UID:b6a6e083-b296-4722-851c-2e283bbbb801 DESCRIPTION:For details of the Mini-workshop\, please see https://en.w ww.math.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/le ctures-ss-2025/#collapse_9 DTSTART:20250727T220000Z DTEND:20250729T220000Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: : L. Goertz\, Universität Hamburg: A Const ruction of Surface Skein TQFTs from Commutative Frobenius Algebras and their Extension to 4d 2-Handlebodies UID:a31ad7cf-af7a-4ab4-9eff-63c02171a2cf DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ws-2025-2026/#collapse_0 DTSTART:20251020T121500Z DTEND:20251020T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: L. Seco\, Universidade de Brasília on post doc leave at FAU: Fundamental Polytope for the Isometry Group of an Al cove UID:1ec0a7fb-e46e-4e47-ad49-b45c82a256e3 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241209T131500Z DTEND:20241209T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: A. Shapiro\, University of Edinburgh: tba UID:403c8900-7d37-472e-97a2-65b3dfa3ff45 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20250120T131500Z DTEND:20250120T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K.-H. Neeb\, FAU: Compactifications of Caus al Symmetric Spaces UID:0c94e093-2470-43ab-a705-3723f51611d5 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20250127T131500Z DTEND:20250127T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: T. Simon\, FAU: Differential Symmetry Break ing Operators and the F-Method - The lecture has been canceled UID:e78a631a-7e00-43a1-9b86-ad866bf6812e DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20250203T131500Z DTEND:20250203T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: T. Kammermeier\, Universität Hamburg: Cauc hy Completion of Categories UID:8868e351-7b3d-4d3b-b5a3-cb973cf16f0c DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_0 DTSTART:20250505T121500Z DTEND:20250505T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K. Li\, FAU: Dimension Theories for Non-Com mutative Spaces UID:3a8edfbd-1b85-4b04-8d2f-3f5776e77c5d DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_1 DTSTART:20250512T121500Z DTEND:20250512T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: P. Schlösser\, Radboud Universiteit: Confo rmal 4-Point Functions and Their Representation Theory UID:302bd32d-b600-412c-8991-c1913ec32673 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_2 DTSTART:20250526T121500Z DTEND:20250526T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: I. Penkov\, Constructor University Bremen: Categories of Integrable Sl(infty)-Modules with Semilarge Annihilator UID:b25eab37-36b3-4608-a83f-7a214b77b882 DESCRIPTION:For details of the lectures\, please see https://en.www.ma th.fau.de/lie-groups/lie-gveranstaltungskalender-lie-gruppen-2/lecture s-ss-2025/#collapse_3 DTSTART:20250602T121500Z DTEND:20250602T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Karl-Hermann Neeb\, FAU: Conformal Causal Spac es and Nets of Real Subspaces UID:6b58885c-cc8f-4429-aed0-a5f15cbb7f7f DESCRIPTION:Conformal Causal Spaces and Nets of Real Subspaces –\ ; Vortragender: Karl-Hermann Neeb\, FAU Erlangen-Nürnberg –\; Ei nladender: K.-H. Neeb Abstract: The natural context for conformal caus al geometry are causal flag manifolds G/P and their coverings. Beyond dimension 2 the conformal groups are finite-dimensional and\, in the i rreducible context\, G/P is a conformal compactification of a euclidea n Jordan algebra. For rank r = 2\, these are precisely the Minkowski s paces. The simply connected coverings of these spaces carry global cau sal orders and are also known under the name simple Jordan spacetimes. We briefly discuss the classification of these spaces and which unita ry representations of G permit nets of real subspaces based on open su bsets of M and its coverings. If time permits\, we also discuss locali ty conditions\, which\, for Minkowski space\, include Huygens’\; Principle. DTSTART:20240715T121500Z DTEND:20240715T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Preeg\, FAU: Multiplication Operators in the Unitary Restricted Operators UID:9fe2ee12-fe8f-45ad-a844-b64e05eb264f DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241014T121500Z DTEND:20241014T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: L. M. Lawson\, Max Planck Institute for the Science of Light\, Erlangen: Crossed Module of Semisimple Hopf Algebr a UID:6a5879a2-29c0-4d77-ba96-40d749985a09 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241021T121500Z DTEND:20241021T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: K.-H. Neeb\, FAU: Nets of Local Algebras on Causal Flag Manifolds UID:e0a21264-e7ac-4518-83d2-0dbc126d2176 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241028T131500Z DTEND:20241028T141500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: V. Proietti\, University of Oslo: Elliott I nvariant in a Geometric Context UID:ff502ad0-8990-479f-a756-608c2be2eefb DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241104T131500Z DTEND:20241104T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: M. Ludwig\, FAU: Ein diagrammatischer Kalk ül für ungetwistete Dijkgraaf-Witten Modelle mit Defekten UID:25a756a0-69e1-4eae-843e-0e7fb82bc682 DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241111T131500Z DTEND:20241111T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: T. Simon\, FAU: On Growth of Derivatives in Harish-Chandra Modules UID:79d179f2-2484-43b3-9d67-21bf4ba1e69b DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241118T131500Z DTEND:20241118T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Lie Group Seminar: A. Miller\, Odense University: Homology and K-Theory for Self-Similar Group Actions UID:22995d93-5db6-46af-a800-4324bdd2932a DESCRIPTION:For details of the lectures\, please see Lectures WS 2024/2025 DTSTART:20241202T131500Z DTEND:20241202T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: T. Simon\, FAU: Constructing Nets of Standard Subspaces on Non-Compactly Causal Symmetric Spaces from K-Finite Vecto rs in Unitary Representations UID:be3f870f-3559-4d49-81f2-fa2ae4225e15 DESCRIPTION:Constructing Nets of Standard Subspaces on Non-Compactly C ausal Symmetric Spaces from K-Finite Vectors in Unitary Representation s –\; Vortragender: Tobias Simon\, FAU Erlangen-Nürnberg –\ ; Einladender: K.-H. Neeb Abstract: In this talk\, we discuss the cons truction from Frahm\, Neeb\, and Olafsson of nets of standard subspace s on a non-compactly causal symmetric space G/H associated to unitary representations of G\, which satisfy Isotony\, Covariance\, Reeh-Schli eder and the Bisognano-Wichmann property. Here\, one of the main diffi culties is to guarantee the existence of cyclic H-invariant finite-dim ensional subspaces of distribution vectors. This is achieved by provin g distributional boundary values for the holomorphic extension of orbi t maps of K-finite vectors. These subspaces of distribution vectors ca n be used to realize the representation in a space of distributional s ections and construct the net geometrically. DTSTART:20240527T121500Z DTEND:20240527T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: S. Echterhoff\, Universität Münster: K-Theor y for Crossed Products by Bernoulli Shifts (Joint work with Sayan Chak raborty\, Julian Kranz and Shintaro Nishikawa) UID:ad3da6f1-22a8-4518-a22d-f8733cb6d09c DESCRIPTION:K-Theory for Crossed Products by Bernoulli Shifts (Joint w ork with Sayan Chakraborty\, Julian Kranz and Shintaro Nishikawa) R 11\; Vortragender: Siegfried Echterhoff\, Universität Münster – \; Einladender: Kang Li Abstract: For a large class of unital $C^*$-al gebras $A$\, we calculate the $K$-theory of reduced crossed products $ A^{otimes G}rtimes_rG$ of Bernoulli shifts by groups satisfying the Ba um–\;Connes conjecture. In particular\, we give explicit formulas for finite-dimensional $C^*$-algebras\, UHF-algebras\, rotation algeb ras\, and several other examples. As an application\, we obtain a form ula for the $K$-theory of reduced $C^*$-algebras of wreath products $H wr G$ for large classes of groups $H$ and $G$. Our results are motivat ed and generalize earlier results of Xin Li about the K-theory of lamp lighter groups. DTSTART:20240603T121500Z DTEND:20240603T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: H. Wang\, East China Normal University: Unveil ing the Connes-Kasparov Isomorphism: Bridging K-Theory and Representat ion of Groups UID:c14f46ea-1435-4007-9485-160ab803eda7 DESCRIPTION:Unveiling the Connes-Kasparov Isomorphism: Bridging K-Theo ry and Representation of Groups –\; Vortragende: Hang Wang\, East China Normal University –\; Einladender: Kang Li Abstract: The C onnes-Kasparov conjecture posits a profound connection between the K-t heory of the reduced C*-algebra of an almost connected group and the r epresentation ring of its maximal compact subgroup. Serving as a verif ied instance of the Baum-Connes conjecture\, its implications extend d eep into the realm of representation theory of reductive groups. In fa ct\, this conjecture is viewed as an operator-theoretic Mackey analogy \, with the isomorphism established through the higher index of twiste d Dirac operators on the homogeneous space associated to the group. In this introductory lecture\, we shall unfold the isomorphism\, focusin g on the example of a complex semisimple Lie group. DTSTART:20240603T140000Z DTEND:20240603T151500Z LOCATION:Übungsraum Ü3\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: H. Wang\, East China Normal University: Explor ing the Higher Index Formula: Connections with K-Theory and Representa tion Theory UID:fd317883-b70e-4aaa-b4f8-057aa9560ba9 DESCRIPTION:Exploring the Higher Index Formula: Connections with K-The ory and Representation Theory –\; Vortragende: Hang Wang\, East C hina Normal University –\; Einladender: Kang Li Abstract: The hig her index of an elliptic differential operator\, which remains invaria nt under a group action\, defines a class within the K-theory of the r educed C*-algebra of the group. Evaluating this higher index typically involves pairing the index class with cyclic cocycles linked to the g roup. In the case of connected reductive groups\, specific cyclic cocy cles can be defined to reconstruct representation theory through chara cter formulas. In this talk\, I will explore a higher index formula de veloped in collaboration with Zijing Wang\, employing geometric method s inspired by the Connes-Moscovici framework. DTSTART:20240610T121500Z DTEND:20240610T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Tomoyuki Arakawa\, Kyoto University: 4D/2D Dua lity and Representation Theory UID:49cbe730-4e55-4fc1-8192-19a43b7c2708 DESCRIPTION:4D/2D Duality and Representation Theory –\; Vortragen der: Tomoyuki Arakawa\, Kyoto University –\; Einladender: K.-H. N eeb Abstract: This talk is about some recent physical theory (4D/2D du ality) that relates representations of some algebras (VOAs) with theor etical physics (4 dimensional N=2 superconformal field theory) and geo metry (symplectic singularities). More precisely\, I will talk about t he 4D/2D duality discovered by Beem et al. that associates a VOA to an y 4 dimensional N=2 superconformal field theory. The corresponding VOA has many interesting properties\, and in particular\, it may be regar ded as a refinement of the Higgs branch of the 4D theory\, which is be lieved to be a symplectic singularities. DTSTART:20240617T121500Z DTEND:20240617T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: H. Wang\, East China Normal University: Cohomo logical Insights into the Connes-Kasparov Isomorphism UID:cb490ebb-eeba-4018-b084-55642a36a5d4 DESCRIPTION:Cohomological Insights into the Connes-Kasparov Isomorphis m –\; Vortragende: Hang Wang\, East China Normal University ̵ 1\; Einladender: Kang Li Abstract: A Riemann-Roch type formula serves as the the cornerstone in establishing the Atiyah-Singer index theory via the K-theory method. The classical deformation-to-the-normal-cone approach offers a perspective from noncommutative geometry on formulat ing the analytic index. In this work\, we propose a topological method that combines a Riemann-Roch theorem with deformation-to-the-normal-c one techniques to provide a cohomological depiction of the Connes-Kasp arov isomorphism. We anticipate that this framework will yield all loc al index formulas. This is joint work with Paulo Carrillo Rouse. DTSTART:20240624T121500Z DTEND:20240624T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Conference Lie Groups\, Representations and Ph ysics on the occasion of Karl-Hermann Neeb's 60th birthday UID:5c38a9be-b7cc-48ea-92ee-1d154355d85b DESCRIPTION:Eingeladene SprecherInnen: Maria Stella Adamo\, Erlangen-N ürnberg Daniel Beltita\, IMAR\, Bucharest Helge Glöckner\, Paderborn Joachim Hilgert\, Paderborn Karl H. Hofmann\, Darmstadt Bas Janssens\ , TU Delft Timothée Marquis\, UC Louvain Vincenzo Morinelli\, Roma 2 Bent Ørsted\, Aarhus Hadi Salmasian\, University of Ottawa Cornelia V izman\, Timisoara Stefan Wagner\, BTH\, Karlskrona Ausführliche Infor mationen finden Sie auf unserer Homepage unter https://www.math.fau.de /neeb60/ DTSTART:20240625T220000Z DTEND:20240628T220000Z LOCATION:Hörsaal H13\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Jonas Schober\, Universidad Nacional Autónoma de México: The Scattering Matrix and a Levinson Theorem for a Class of Matrix-Valued Discrete Schrödinger Operators UID:b4d50ec1-d811-4209-9fb3-ed37655d48c2 DESCRIPTION:The Scattering Matrix and a Levinson Theorem for a Class o f Matrix-Valued Discrete Schrödinger Operators –\; Vortragender: Jonas Schober\, Universidad Nacional Autónoma de México –\; Ei nladender: K.-H. Neeb Abstract: On the vector-valued l²-space over th e integers we consider a free Hamiltonian that is a variation of the d iscrete Laplacian and study scattering theory for the perturbation of this operator by a matrix-valued potential. We prove the existence of the Jost-solutions and use them to construct the scattering matrix\, w hose dimension in our model depends on the spectral parameter. The sca ttering matrix and its analytic properties are then used to formulate a Levinson type Theorem. DTSTART:20240708T121500Z DTEND:20240708T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: P. Naryshkin\, Universität Münster: Classifi ability of Crossed Products UID:851e8721-b2a2-4ea5-9bf6-e50d01639c92 DESCRIPTION:Classifiability of Crossed Products –\; Vortragender: Petr Naryshkin\, Universität Münster –\; Einladender: Kang Li Abstract: In the theory of C*-algebras one of the fundamental sources of examples is the crossed product construction\, which associates a C *-algebra $A rtimes_r G$ for to any C*-dynamical system $G curvearrowr ight A$. With the recent completion of the Elliott classification prog ramme\, it became a natural question to ask which of these examples fi t within its scope (are classifiable). In this talk we will attempt to give an overview of the subject and describe the current state of the art. DTSTART:20240122T131500Z DTEND:20240122T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: S. Echterhoff\, Universität Münster: K-Theor y for Crossed Products by Bernoulli Shifts (Joint work with Sayan Chak raborty\, Julian Kranz and Shintaro Nishikawa) - in das SS 2024 versch oben UID:9bc3ca74-a1be-4642-9cd7-8c8bb21570c9 DESCRIPTION:K-Theory for Crossed Products by Bernoulli Shifts (Joint w ork with Sayan Chakraborty\, Julian Kranz and Shintaro Nishikawa) R 11\; Vortragender: Siegfried Echterhoff\, Universität Münster – \; Einladender: Kang Li Abstract: For a large class of unital $C^*$-al gebras $A$\, we calculate the $K$-theory of reduced crossed products $ A^{otimes G}rtimes_rG$ of Bernoulli shifts by groups satisfying the Ba um–\;Connes conjecture. In particular\, we give explicit formulas for finite-dimensional $C^*$-algebras\, UHF-algebras\, rotation algeb ras\, and several other examples. As an application\, we obtain a form ula for the $K$-theory of reduced $C^*$-algebras of wreath products $H wr G$ for large classes of groups $H$ and $G$. Our results are motivat ed and generalize earlier results of Xin Li about the K-theory of lamp lighter groups. In das SS 2024 verschoben. DTSTART:20240129T131500Z DTEND:20240129T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:Workshop Ideal Structure of C*-algebras from Dynamics and Groups UID:040000008200E00074C5B7101A82E0080000000070C02077A5CAD9010000000000 0000001000000089516ACF651D2D45B777B7D49FA9DDFF DESCRIPTION:Ausführliche Informationen hierzu finden Sie auf unserer Homepage unter https://www.math.fau.de/lie-gruppen/personen/prof-dr-ka ng-li/workshop-ideal-structure-of-c-algebras-from-dynamics-and-groups/ DTSTART:20240407T220000Z DTEND:20240411T220000Z LOCATION:Hörsaal H12\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Weber\, Artist\, Nürnberg: Magische Quadra te - komplementäre Ordnungsrelation der Fakultät UID:8f4d8208-6244-4e0d-9629-45df0eae7b29 DESCRIPTION:Magische Quadrate –\; komplementäre Ordnungsrelation der Fakultät –\; Vortragender: Christian Weber\, Artist\, Nürn berg –\; Einladender: K.-H. Neeb Abstract: Aufgezeigt wird die Du alität zwischen Knoten/Kanten-Matrizen und magischen Quadrate im Bere ich 4n! ( magische Quadrate doppelt-gerader Ordnung 4n ). Bezüglich d er Gruppentheorie besteht die Inverse aus dem Komplementärpaar und da s neutrale Element aus der Komplementärzahl. Die Transformationen bes tehen aus Spalten / Zeilen –\; Verschiebungen. Im Zentrum steht d ie Komplementärzahl als Ordnungszahl. Die 24 Knotenfolgen ( 4! ) und deren 24 Knoten/Kanten-Matrizen bilden das Erzeugerfeld der Ordnung 4. Durch die Verknüpfung einer dieser Knoten / Kanten –\; Matrizen mit einem symmetrisch magischen Quadrat\, erzeugt das Erzeugerfeld 8 symmetrisch magische Quadrate (SMQ)\, 8 pandiagonal magische Quadrate (PMQ) und 8 zellenmagische Quadrate (ZMQ)\, die sich jeweils zu Komple mentärpaare ordnen lassen. Die 8! mit ihren 40320 Knoten/Kanten-Matri zen und der Verknüpfung mit einem symmetrisch magischen Quadrat der O rdnung 8 ergeben 105 Untergruppen ( MQ-Gruppen ) mit jeweils 384 Varia nten. Durch die Untersuchung der 4! und 8! läßt sich auf die innere Struktur der übrigen 4n! Ordnungen schließen. Angewendet auf eine ko nforme TSP\, kann eine untere Ordnungsschranke ( n –\; 2 )! abgel eitet werden. DTSTART:20240422T121500Z DTEND:20240422T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: L. Seco\, Universidade de Brasília: Counting Geodesics in Compact Symmetric Spaces: The Centralizer Modulo the Latt ice UID:c8511597-cc35-4d99-9a43-4462e1a202e3 DESCRIPTION:Counting Geodesics in Compact Symmetric Spaces: The Centra lizer Modulo the Lattice –\; Vortragender: Lucas Seco\, Universid ade de Brasília –\; Einladender: K.-H. Neeb Abstract: We describ e the inverse image of the Riemannian exponential map of a compact sym metric space as the disjoint union of orbits through the maximal torus : These are orbits of a subgroup of the isotropy group and we show how their dimension (infinitesimal data) and connected components (topolo gical data) are encoded in the diagram\, Weyl group and lattice of the symmetric space: This is precisely what we mean by counting geodesics . A central object that appears is the centralizer of an element H in the maximal torus by the Weyl group modulo the lattice\, it is isomorp hic to the centralizer of H in the affine Weyl group and well known fo r simply connected spaces: We discuss some properties that we are curr ently investigating for non-simply connected spaces. References: Seco\ , L.\, Patrão\, M.: Counting geodesics on compact symmetric spaces\, Monatsh. Math. (2024) Seco\, L.\, San Martin\, L.A.B.: Counting geodes ics on compact Lie groups\, Diff. Geom. Appl. 56 (2018) DTSTART:20240429T121500Z DTEND:20240429T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: M. S. Adamo\, FAU: Full VOA and OS Axioms UID:0da20bef-06e0-45b7-9d16-4c06c0df29c1 DESCRIPTION:Full VOA and OS Axioms –\; Vortragende: Maria Stella Adamo\, FAU Erlangen-Nürnberg –\; Einladender: K.-H. Neeb Abstra ct: After discussing available axiomatic approaches to quantum field t heory\, we report on recent progress in our work in collaboration with Yuto Moriwaki and Yoh Tanimoto. Our goal is to show the Osterwalder-S chrader axioms starting from n-point functions in the setting of unita ry full Vertex Operator Algebras. DTSTART:20240506T121500Z DTEND:20240506T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: T. Simon\, FAU: Constructing Nets of Standard Subspaces on Non-Compactly Causal Symmetric Spaces from K-Finite Vecto rs in Unitary Representations - verschoben auf 27.05.2024 UID:e6e349a2-6493-423d-9cb2-81c19e033ff8 DESCRIPTION:Constructing Nets of Standard Subspaces on Non-Compactly C ausal Symmetric Spaces from K-Finite Vectors in Unitary Representation s –\; Vortragender: Tobias Simon\, FAU Erlangen-Nürnberg –\ ; Einladender: K.-H. Neeb –\; verschoben auf 27.05.2024 Abstract: In this talk\, we discuss the construction from Frahm\, Neeb\, and Ol afsson of nets of standard subspaces on a non-compactly causal symmetr ic space G/H associated to unitary representations of G\, which satisf y Isotony\, Covariance\, Reeh-Schlieder and the Bisognano-Wichmann pro perty. Here\, one of the main difficulties is to guarantee the existen ce of cyclic H-invariant finite-dimensional subspaces of distribution vectors. This is achieved by proving distributional boundary values fo r the holomorphic extension of orbit maps of K-finite vectors. These s ubspaces of distribution vectors can be used to realize the representa tion in a space of distributional sections and construct the net geome trically. DTSTART:20240513T121500Z DTEND:20240513T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: K.-H. Neeb\, FAU: Nets of Standard Subspaces o n Homogeneous Spaces UID:040000008200E00074C5B7101A82E008000000000018041E8D02DA010000000000 000000100000001ED4AA237BAADE48976D5E794E7DDD78 DESCRIPTION:Nets of Standard Subspaces on Homogeneous Spaces –\; Vortragender: Karl-Hermann Neeb\, FAU Abstract: We report on some rece nt results with V. Morinelli on nets of standard subspaces on causal h omogeneous spaces. In particular\, we show that nets that are covarian t\, isotone with the Bisognano-Wichmann property are sandwiched betwee n a minimal and maximal one. So localization properties can be formula ted in terms of the maximal net. DTSTART:20231023T121500Z DTEND:20231023T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: G. Olafsson\, Louisiana State University: Wave Front Sets of Spherical Distributions on de Sitter Space UID:040000008200E00074C5B7101A82E00800000000505FDAC8A805DA010000000000 000000100000000A6C8CB258576E46B8AE3F2887CFE3A1 DESCRIPTION:Wave Front Sets of Spherical Distributions on de Sitter Sp ace –\; Vortragender: Gestur Olafsson\, Louisiana State Universit y\, Baton Rouge –\; Einladender: Karl- Hermann Neeb Abstract: Joi nt work with Iswarya Sitiraju DTSTART:20231113T131500Z DTEND:20231113T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: V. Mulevičius\, Vilniaus Universitetas Litaue n: Internal Levin-Wen Models UID:040000008200E00074C5B7101A82E00800000000B06552B4F412DA010000000000 00000010000000FF70D7D490CCA94892A1C756DBC07C4A DESCRIPTION:Internal Levin-Wen Models –\; Vortragender: Vincentas Mulevičius\, Vilniaus Universitetas Litauen –\; Einladende: Cat herine Meusburger Abstract: In this talk we will discuss (2+1)-dimensi onal topological phases of matter. In particular we will recall how th ey arise as degenerate ground states of lattice systems having a gappe d Hamiltonian. Examples of this are the Kitaev toric code\, based on a lattice of spin-1/2 particles\, as well as its generalisations – \; the Kitaev lattice model based on Hopf algebras\, and the Levin-Wen model based on fusion categories. The focus of this talk is going to be a construction allowing one to engineer a new topological order out of anyonic excitations of a given one. This construction is an analog ue of the aforementioned lattice models and is best described using a universal language of topologcial quantum field theories with defects\ , which we will also recall. DTSTART:20231120T131500Z DTEND:20231120T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: G. Szabó\, KU Leuven: Embedding Topological D ynamics over Amenable Groups into Cubical Shifts UID:040000008200E00074C5B7101A82E00800000000E0D7D521AB05DA010000000000 000000100000004BFD08E1FCE25A489C14DB22FECE3EAF DESCRIPTION:Embedding Topological Dynamics over Amenable Groups into C ubical Shifts –\; Vortragender: Gábor Szabó\, Katholieke Univer siteit Leuven –\; Einladender: Kang Li Abstract: Given any homeom orphism $T: Xto X$ on a compact metrizable space\, it is not hard to s ee that the topological dynamical system $(X\,T)$ embeds into the Hilb ert cube $big( [0\,1]^{mathbb{N}}big)^{mathbb{Z}}$ equivariantly with the index shift. It is a much more subtle question (even when $T$ is a ssumed to be minimal) whether one can always embed into $big( [0\,1]^d big)^{mathbb{Z}}$\, for some natural number $d$ or even $d=1$\, with the index shift. The systematic negative answer for this question was given by Lindenstrauss and Weiss as an application of their concept of mean dimension. Shortly afterwards\, Lindenstrauss proved that small enough mean dimension leads to the existence of such embeddings. This phenomenon eventually gave rise to the Lindenstrauss-Tsukamoto conject ure\, which is a direct dynamical analog of the Menger-Nöbeling theor em for topological spaces. Groundbreaking advances have taken place fo r the case of single homeomorphisms\, but the entire problem makes per fect sense for topological actions of other groups. In this talk\, I w ill talk about a partial verification of the Lindenstrauss-Tsukamoto c onjecture that is applicable to actions of countable amenable groups. This is based on joint work with Emiel Lanckriet. DTSTART:20231127T131500Z DTEND:20231127T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: A. Neumaier\, Universität Wien: Coherent Quan tization I: Coherent Spaces for Linear Fields UID:040000008200E00074C5B7101A82E0080000000040A766A7AB05DA010000000000 00000010000000B106AF776CD34B4F8978761F49B01543 DESCRIPTION:Coherent Quantization I: Coherent Spaces for Linear Fields –\; Vortragender: Arnold Neumaier\, Universität Wien –\; E inladender: Karl-Hermann Neeb This is the first of three lectures on C oherent Quantization and Field Theory to be given 11.-18.12.2023 in Er langen (Germany). (Lecture one and three = AG Lie-Gruppen\; lecture tw o = AG Mathematische Physik) Abstract: The notion of a coherent space is a nonlinear version of the notion of a complex Hilbert space: The v ector space axioms are dropped while the notion of inner product\, now called a coherent product\, is kept. Every coherent space can be uniq uely embedded into a Hilbert space\, its completed quantum space\, by suitably extending the coherent product to an inner product. In the in teresting examples\, the coherent space is an extended classical phase space\, and there is a quantization functor that turns the symmetries of the coherent space into unitary operators in the corresponding qua ntum space. Thus the quantum space is a representation space for quant um dynamics. This provides a universal framework for quantization\, ex tending the traditional geometric quantization of finite-dimensional s ymplectic manifolds to more general situations\, and in particular to the quantization of certain classical field theories. Fields defined b y linear field equations can be quantized by means of Klauder spaces\, a class of coherent spaces discussed by Neumaier and Ghani Farashahi in Anal. Math. Phys. 12 (2022)\, 1-47. We describe another quantizatio n of linear field equations in terms of symplectic and orthogonal Hua spaces (for bosons and fermions)\, a new class of coherent spaces base d on the geometric analysis by Loo-Keng Hua in Trans. Amer. Math. Soc. 57 (1945)\, 441-481. Their symmetry groups are infinite- dimensional metaplectic or metagonal (spin) groups. They allow one to describe the full quantum scattering behavior of linear field equations in terms o f classical scattering and Maslov corrections for the DTSTART:20231211T131500Z DTEND:20231211T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: A. Neumaier\, Universität Wien: Coherent Quan tization III: Infra Fock Spaces and Nonlinear Fields UID:040000008200E00074C5B7101A82E00800000000307276FFAB05DA010000000000 0000001000000091C10DABDA682249B66D53C641D4063C DESCRIPTION:Coherent Quantization III: Infra Fock Spaces and Nonlinear Fields –\; Vortragender: Arnold Neumaier\, Universität Wien  211\; Einladender: Karl-Hermann Neeb This is the third of three lectur es on Coherent Quantization and Field Theory to be given 11.-18.12.202 3 in Erlangen (Germany). (Lecture one and three = AG Lie-Gruppen\; lec ture two = AG Mathematische Physik) Abstract: Infra Fock spaces organi ze the infrastructure available in quantum field theories. They lead n aturally to quantum fluids\, which form a framework for diffeomorphism invariant quantum field theories. Quantum fluid dynamics interpolates between the superselection sectors of a quantum field theory. We disc uss coherent field quantization\, an infinite-dimensional generalizati on of geometric quantization\, and discuss associated conjectures for the interface between classical and quantum observables and for the co nstruction of QED\, Yang-Mills\, QCD\, and quantum gravity. This lectu re depends on the concepts and results of the first two lectures. The slides of the lecture will probably become available –\; at least three hours before the lecture –\; at where one can also find ba ckground material (abstracts and some references) for all lectures. DTSTART:20231218T131500Z DTEND:20231218T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: J. F. Martins\, University of Leeds: A Once-Ex tended TQFT Categorifying Quinn's Finite Total Homotopy TQFT UID:680b6caf-0cda-485e-b341-4879dc8df43e DESCRIPTION:A Once-Extended TQFT Categorifying Quinn’\;s Finite T otal Homotopy TQFT –\; Vortragender: João Faria Martins\, Univer sity of Leeds –\; Einladende: Catherine Meusburger Abstract: Quin n’\;s Finite Total Homotopy TQFT is a TQFT (topological quantum f ield theory) defined for any dimension\, $n$\, of space\, and that dep ends on the choice of a homotopy finite space\, $B$. For instance\, $B $ can be the classifying space of a finite group or of a finite 2-grou p. I will report on recent joint work with Tim Porter on once-extended versions of Quinn’\;s Finite total homotopy TQFT\, taking values in the (symmetric monoidal) bicategory of groupoids\, linear profunct ors\, and natural transformations between linear profunctors. The cons truction works in all dimensions\, thus in particular it yields (0\,1\ ,2)-\, (1\,2\,3)- and (2\,3\,4)-extended TQFTs\, any time we are given a homotopy finite space $B$. I will show how to compute these once-ex tended TQFTs for the case when $B$ is the classifying space of a finit e strict omega-groupoid\, represented by a crossed complex. I will pre sent several open problems. The talk will be accessible to non-special ists. References: JFM\, Porter T: A categorification of Quinn’\;s finite total homotopy TQFT with application to TQFTs and once-extende d TQFTs derived from strict omega-groupoids arXiv:2301.02491 [math.CT] . (235 pages) DTSTART:20240108T131500Z DTEND:20240108T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: B. Ron\, Universität Wien: Geometric Foundati ons of Physics in the Context of AQFT UID:c5c02e6a-dd35-4497-b72e-1587f505cd7e DESCRIPTION:Geometric Foundations of Physics in the Context of AQFT &# 8211\; Vortragender: Bharath Ron\, Universität Wien –\; Einladen der: Karl-Hermann Neeb Abstract: Geometry has been a good model for th e description of the world. We discuss the (usually assumed) postulate s which lie at the core of geometric foundations of classical physics\ , such as the need for manifolds\, etc. We then attempt to generalise and reformulate these postulates so that they can be applied in the co ntext of algebraic quantum theory. We will then discuss some possible paths to developing the mathematics needed to implement them. DTSTART:20240115T131500Z DTEND:20240115T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: R. C. da Silva\, FAU: Twisted Araki-Woods Alge bras: structure and inclusions UID:040000008200E00074C5B7101A82E00800000000704A20428B81D9010000000000 000000100000000B7FCE8A33228842B5D4962056DEC562 DESCRIPTION:Twisted Araki-Woods Algebras: structure and inclusions  211\; Vortragender: Ricardo Correa da Silva\, FAU Erlangen –\; Ei nladender: Karl-Hermann Neeb Abstract: We will introduce the family $m athcal{L}_T(H)$ of von Neumann algebras with respect to the standard s ubspace $H$ and the twist $Tin B(mathcal{H} otimes mathcal{H})$ known as Araki-Woods algebras. These algebras generalize the construction of the Bosonic and Fermionic Fock spaces and provide a general framework of the Bose and Fermi second quantization\, the S-symmetric Fock spac es\, and the full Fock spaces from free probability. Under the assumpt ion of compatibility between $T$ and $H$\, we are going to present the equivalence between $T$ satisfying a standard subspace version of cro ssing symmetry\, and the Yang-Baxter equation (braid equation) and the Fock vacuum being cyclic and separating for $mathcal{L}_T(H)$. Under the same assumptions\, we also determine the Tomita-Takesaki modular d ata for Araki-Woods algebra and the Fock vacuum. Finally\, the inclusi ons $mathcal{L}_T(K)subset mathcal{L}_T(K)$ of such algebras and their relative commutants for standard subspaces $Ksubset H$ will be discus sed. This is joint work with Gandalf Lechner (arXiv: 2212.02298). DTSTART:20230515T121500Z DTEND:20230515T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: K.-H. Neeb\, FAU: Realization of unitary repre sentations of semisimple Lie groups on homogeneous spaces UID:040000008200E00074C5B7101A82E0080000000070D7893D4DA0D9010000000000 00000010000000D7F8615262E1AB44AD6EF852585E0BC5 DESCRIPTION:Realization of unitary representations of semisimple Lie g roups on homogeneous spaces –\; Vortragender: Karl-Hermann Neeb\, FAU Erlangen DTSTART:20230619T121500Z DTEND:20230619T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: T. Simon\, FAU: Asymptotic behavior of holomor phic extensions of orbit maps of K-finite vectors in principal series representations UID:040000008200E00074C5B7101A82E008000000007084887317A4D9010000000000 00000010000000B7CB5ABDE5A2664AB3F89BEC47A397A0 DESCRIPTION:Asymptotic behavior of holomorphic extensions of orbit map s of K-finite vectors in principal series representations –\; Vor tragender: Tobias Simon\, FAU Erlangen –\; Einladender: Karl-Herm ann Neeb Abstract: For semisimple Lie groups G and their associated Ri emannian symmetric space G/K\, there is a domain called the complex cr own domain closely tied to the unitary representation theory of G. In this talk\, we discuss the Krotz-Stanton theorem which states that one can extend orbit maps of K-finite vectors for irreducible unitary rep resentations of G to a particular holomorphic vector bundle over the c rown. Motivated by realizations of representations on bundle-valued di stributions\, we present asymptotic norm estimates we obtained for the holomorphic extensions of orbit maps associated to K-finite vectors i n principal series representations. These norm estimates are crucial i n proving the existence of the limits of the extended orbit maps in th e space of distribution vectors as one approaches the boundary of the crown. DTSTART:20230626T121500Z DTEND:20230626T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: M. S. Adamo\, The University of Tokyo (Japan): Construction of Wightman fields for a class of full 2D CFTs: the case of the U(1)-current and beyond UID:040000008200E00074C5B7101A82E00800000000D0C6D35333ABD9010000000000 00000010000000BB5684EFFD3A8940AE4D93F0BE90395C DESCRIPTION:Construction of Wightman fields for a class of full 2D CFT s: the case of the U(1)-current and beyond –\; Vortragende: Maria Stella Adamo\, The University of Tokyo (Japan) –\; Einladender: Karl-Hermann Neeb Abstract: We discuss our construction of Wightman fi elds for a class of full 2-dimensional conformal field theories\, name ly those with chiral components whose representation categories posses s automorphisms. An example of such 1-dimensional models is given by t he U(1)-current\, for which we analyze the construction in detail. Thi s talk is based on joint work with L. Giorgetti\, Y. Tanimoto\, arXiv: 2301.12310. DTSTART:20230703T121500Z DTEND:20230703T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: M. S. Adamo\, The University of Tokyo (Japan): Construction of Wightman fields for a class of full 2D CFTs: the case of the U(1)-current and beyond UID:040000008200E00074C5B7101A82E0080000000050798E0B02B0D9010000000000 000000100000003A4EC7CE8F5B004489D5B1050A912AFC DESCRIPTION:Construction of Wightman fields for a class of full 2D CFT s: the case of the U(1)-current and beyond –\; Vortragende: Maria Stella Adamo\, The University of Tokyo (Japan) –\; Einladender: Karl-Hermann Neeb Abstract: We discuss our construction of Wightman fi elds for a class of full 2-dimensional conformal field theories\, name ly those with chiral components whose representation categories posses s automorphisms. An example of such 1-dimensional models is given by t he U(1)-current\, for which we analyze the construction in detail. Thi s talk is based on joint work with L. Giorgetti\, Y. Tanimoto\, arXiv: 2301.12310. DTSTART:20230707T121500Z DTEND:20230707T134500Z LOCATION:Seminarraum 04.363\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: B. Janssens\, TU Delft: Positive energy repres entations of compactly supported diffeomorphism groups UID:040000008200E00074C5B7101A82E00800000000701703CD14B3D9010000000000 000000100000005D4A4B28A8BB9F449AA5646D35FF818D DESCRIPTION:Positive energy representations of compactly supported dif feomorphism groups –\; Vortragender: Bas Janssens\, Delft Univers ity of Technology –\; Einladender: Karl-Hermann Neeb Abstract: Le t M be a manifold\, and let phi_t be a distinguished 1-parameter flow of time translations. A projective unitary representation rho of Diff_ c(M) is of positive energy with respect to phi_t if it extends to the semidirect product of Diff_c(M) with the group (R\,+) of time translat ions in such a way that the generator of the time translations (the Ha miltonian) has spectrum bounded from below. We show that for dim(M)>1\ , every positive energy representation of Diff_c(M) is trivial. (Joint work with Milan Niestijl) DTSTART:20230710T121500Z DTEND:20230710T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Bönicke\, Newcastle University: Homology o f étale groupoids and applications UID:040000008200E00074C5B7101A82E00800000000D0B845F7EAAFD9010000000000 000000100000009AA7B4ED0C10484B9CE65610863D9A54 DESCRIPTION:Homology of étale groupoids and applications –\; Vor tragender: Christian Bönicke\, Newcastle University (UK) –\; Ein ladender: Kang Li Abstract: The aim of these lectures is to give a gen tle introduction to a homology theory for étale groupoids first devel oped by Crainic and Moerdijk in 2000. This theory has recently attract ed a lot of attention from the operator algebras and topological dynam ics communities. Applications in these areas largely deal with totally disconnected étale groupoids and hence we will also be focussing on this setting. My plan is to first introduce étale groupoids and give a number of examples from different contexts. We will then turn to the definition of groupoid homology\, develop some useful tools\, and tre at some of the examples from before in more detail. Finally\, we will discuss how groupoid homology relates to operator algebras\, topologic al dynamics\, and group theory. DTSTART:20230803T103000Z DTEND:20230803T120000Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Bönicke\, Newcastle University: Homology o f étale groupoids and applications UID:040000008200E00074C5B7101A82E0080000000080AE9D99F0AFD9010000000000 00000010000000225CBC9AB5B8CD48B3CA2B46E7E29483 DESCRIPTION:Homology of étale groupoids and applications –\; Vor tragender: Christian Bönicke\, Newcastle University (UK) –\; Ein ladender: Kang Li Abstract: The aim of these lectures is to give a gen tle introduction to a homology theory for étale groupoids first devel oped by Crainic and Moerdijk in 2000. This theory has recently attract ed a lot of attention from the operator algebras and topological dynam ics communities. Applications in these areas largely deal with totally disconnected étale groupoids and hence we will also be focussing on this setting. My plan is to first introduce étale groupoids and give a number of examples from different contexts. We will then turn to the definition of groupoid homology\, develop some useful tools\, and tre at some of the examples from before in more detail. Finally\, we will discuss how groupoid homology relates to operator algebras\, topologic al dynamics\, and group theory. DTSTART:20230807T120000Z DTEND:20230807T140000Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Bönicke\, Newcastle University: Homology o f étale groupoids and applications UID:040000008200E00074C5B7101A82E00800000000F03E2BCFF0AFD9010000000000 0000001000000075CBA90BD042654C8D165CA488B0A8F7 DESCRIPTION:Homology of étale groupoids and applications –\; Vor tragender: Christian Bönicke\, Newcastle University (UK) –\; Ein ladender: Kang Li Abstract: The aim of these lectures is to give a gen tle introduction to a homology theory for étale groupoids first devel oped by Crainic and Moerdijk in 2000. This theory has recently attract ed a lot of attention from the operator algebras and topological dynam ics communities. Applications in these areas largely deal with totally disconnected étale groupoids and hence we will also be focussing on this setting. My plan is to first introduce étale groupoids and give a number of examples from different contexts. We will then turn to the definition of groupoid homology\, develop some useful tools\, and tre at some of the examples from before in more detail. Finally\, we will discuss how groupoid homology relates to operator algebras\, topologic al dynamics\, and group theory. DTSTART:20230808T120000Z DTEND:20230808T140000Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: A. Kosyak\, Univ. Kyiv\, Ukraine: Knots\, Brai ds and Quantum groups UID:040000008200E00074C5B7101A82E00800000000B0C698DBE728DA010000000000 00000010000000FA0A98488747994599BE93F0368D7DBD DESCRIPTION:Knots\, Braids and Quantum groups Vortragender: Alexandre Kosyak\, Institute of Mathematics\, Kyiv\, Ukraine Abstract: We will g ive the list of terms used in knot theory\, define the braid groups B_ n\, and indicate the connection between knots\, braids and quantum gro ups on the example of q-Pascal triangle. These results generalize the results by Tuba and Wenzl (2001) of low dimensional representations of B_3. The two-parameter Lawrence (1990)\, or Lawrence-Krammer (2002)\, representations of B_n were used to prove that the Braid groups B_n a re linear: Krammer for B_4 (2002)\, Bigelow for all B_n (2001). We sho w in addition that the Lawrence representation of B_n is a quantizatio n of the symmetric square of the Burau representation. DTSTART:20221114T131500Z DTEND:20221114T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: T. Simon (FAU): Gibbs states of Lie groups and characterization of Gibbs elements UID:53eacbb7-3173-4653-8ae9-9c1fac2e1178 DESCRIPTION:Gibbs states of Lie groups and characterization of Gibbs e lements Vortragender: Tobias Simon\, FAU Abstract: Motivated by the co ncept of KMS states and more specifically Gibbs states in Quantum Stat istical Mechanics\, we study Lie algebraic and representation theoreti c aspects of Gibbs states of Lie groups. These correspond to an irredu cblie unitary representation rho and an generator X in the Lie algebra satisfying tr(e^{idelpi(X)}) DTSTART:20221121T131500Z DTEND:20221121T144500Z LOCATION:Gibbs states of Lie groups and characterization of Gibbs elements DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: J. Krähmer\, Univ. Dresden: Cyclic duality fo r slice and orbit 2-categories UID:040000008200E00074C5B7101A82E00800000000804C3DD2E728DA010000000000 0000001000000016B301179F2A33468C3D0B6E9F5F7622 DESCRIPTION:Cyclic duality for slice and orbit 2-categorie Vortragende : Julius Krähmer\, Universität Dresden Einladende: Karl-Hermann Neeb Abstract: After a minicouse on simplicial sets I will explain how the y can be extended to duplicial and paracyclic ones\, and why I and a f ew others care about these. The main topic will then be one possible a nswer to the question why the more exotic index categories controlling the latter are self-dual while the simplicial category is not. [Based on joint work with John Boiquaye and Philipp Joram]. DTSTART:20221205T131500Z DTEND:20221205T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: J. Schober\, FAU: Standard subspaces\, reflect ion positivity\, Pick functions and how to pass from one to the other UID:040000008200E00074C5B7101A82E00800000000F067BACB1324D9010000000000 000000100000003113EB0A5111004A939D1E1DCC683819 DESCRIPTION:Standard subspaces\, reflection positivity\, Pick function s and how to pass from one to the other –\; Vortragender: Jonas S chober\, FAU Erlangen –\; Einladender: Karl-Hermann Neeb Abstract : Motivated by the Haag-Kastler theory of local observables in Quantum Field Theory\, one is interested in unitary endomorphisms of standard subspaces. Classical results in this context are given in the works o f Borchers and Longo/Witten. In my PhD project I focus on one-paramete r semigroups of these unitary endomorphisms. In the context of Borcher s theorem a natural approach is to pass from one-parameter semigroups of unitary endomorphisms of standard subspaces to reflection positive unitary one- parameter groups\, while in the context of Longo/Witten o ne thinks of these one-parameter semigroups as one-parameter semigroup s of inner functions which are infinitesimally generated by Pick funct ions. In this talk I will show how to pass from one picture to the oth er. DTSTART:20230109T131500Z DTEND:20230109T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: A.-K. Hirmer\, FAU: Generalised Kitaev models from Hopf monoids: topological invariance and examples UID:040000008200E00074C5B7101A82E00800000000A06671D26731D9010000000000 00000010000000260353EAA36EB04D98B059B804463F86 DESCRIPTION:Generalised Kitaev models from Hopf monoids: topological i nvariance and examples –\; Vortragende: Anna-Katharina Hirmer\, F AU Erlangen –\; Einladender: Karl-Hermann Neeb Abstract: Quantum double models were introduced by Kitaev to obtain a realistic model fo r a topological quantum computer. They are based on a directed ribbon graph and a finite-dimensional semisimple Hopf algebra. The ground sta te of these models is a topological invariant of a surface\, i.e. only depends on the homeomorphism class of the oriented surface but not th e ribbon graph. Meusburger and Voß generalised part of the constructi on from Hopf algebras to pivotal Hopf monoids in symmetric monoidal ca tegories. We explain the construction of the ground state for involuti ve Hopf monoids and show that it is topological invariant. We explicit ly describe this construction for Hopf monoids in Set\, Top\, Cat and SSet. DTSTART:20230206T131500Z DTEND:20230206T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:58th Seminar Sophus Lie UID:040000008200E00074C5B7101A82E00800000000E0B1BCCB1324D9010000000000 000000100000006520B175DE328A45BA7FB5950C71B833 DESCRIPTION:Link to the conference website: DTSTART:20230308T230000Z DTEND:20230309T230000Z LOCATION:HS12\, Cauerstr. 11\, 91058 Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: K. Li\, FAU: An introduction to AF algebras - ABGESAGT UID:040000008200E00074C5B7101A82E0080000000000FAE8F5756CD9010000000000 00000010000000E80293E2E621BC418081214D59BE63B4 DESCRIPTION:An introduction to AF algebras –\; Vortragender: Kang Li\, FAU Erlangen –\; Einladender: Karl-Hermann Neeb Abstract: I n this talk\, I will discuss the basic properties of AF algebras and i ntroduce AF-embeddability problem. DTSTART:20230417T121500Z DTEND:20230417T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: J. Gabe\, University of Southern Denmark: Simp le AF embeddability for unimodular group C*-algebras UID:040000008200E00074C5B7101A82E00800000000E0C4DF99766CD9010000000000 000000100000003FC0E4BF12EF3040A23E0233AA9076D7 DESCRIPTION:Simple AF embeddability for unimodular group C*-algebras & #8211\; Vortragender: Jamie Gabe\, University of Southern Denmark R 11\; Einladender: Kang Li Abstract: For any locally compact group G\, the left regular (unitary) representation generates a C*-algebra of bo unded operators on the Hilbert space L^2(G). J. Rosenberg proved in th e 80’\;s that a discrete group G is amenable provided its induced C*-algebra forms a quasidiagonal set of operators on L^2(G)\, and he conjectured that the converse also holds. The conjecture was confirmed in 2015 by Tikuisis\, White\, and Winter\, and using methods of Ozawa \, Rørdam\, and Sato for elementary amenable groups\, they showed the stronger result that such group C*-algebras embed into a simple appro ximately finite-dimensional (AF) C*-algebra. I will report on some dev elopments on extending this result to unimodular groups which are amen able\, type I\, or (almost) connected. The proof uses a new ultrapower construction for tracial weights\, and if time permits\, I will descr ibe how these ultrapowers work. DTSTART:20230424T121500Z DTEND:20230424T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: M. Ludewig\, Universität Regensburg: The stri ngor representation UID:040000008200E00074C5B7101A82E00800000000F02EEC5B8C81D9010000000000 00000010000000D5BB81D94C5EA5438148F843C0ED2561 DESCRIPTION:The stringor representation –\; Vortragender: Matthia s Ludewig\, Universität Regensburg –\; Einladender: Karl-Hermann Neeb Abstract: We will construct a representation for the String 2-gr oup on a von Neumann algebra\, in fact on the hyperfinite type III_1 f actor. This uses a certain strict model for the string group\, develop ed together with Konrad Waldorf and Peter Kristel. DTSTART:20230508T121500Z DTEND:20230508T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Lise Wouters\, KU Leuven UID:040000008200E00074C5B7101A82E0080000000030497925122CDA010000000000 0000001000000004CC9E2962CB8C4F81136711CF12121E DESCRIPTION:tba Vortragende: Lise Wouters\, KU Leuven Veranstalter: Kang Li DTSTART:20220502T121500Z DTEND:20220502T134500Z LOCATION:Übungsraum Ü2\; Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: V. Morinelli\, University of Rome Tor Vergata UID:040000008200E00074C5B7101A82E00800000000B0F45E23122CDA010000000000 00000010000000855867502A27B149B3113792C1811E7B DESCRIPTION:tba Vortragender: Vincenzo Morinelli\, University of Rome Tor Vergara Veranstalter: Karl-Hermann Neeb DTSTART:20220509T121500Z DTEND:20220509T134500Z LOCATION:Übungsraum Ü2\; Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Milan Niestijl\, TU Delft UID:040000008200E00074C5B7101A82E00800000000F092B223122CDA010000000000 000000100000000D8F8AE2BA3BB045959F9BD908296F6A DESCRIPTION:Positive Energy Representations of Gauge Groups With Suppo rt at a Fixed Point Vortragender: Milan Niestijl\, TU Delft Veranstalt er: Karl-Hermann Neeb Abstract: Let $mathcal{K} to M$ be a locally tri vial smooth bundle of Lie groups equipped with an action of some Lie g roup $P$ by bundle automorphisms. Complementing recent progress B. Jan ssens and K.H. Neeb on the case where the $P$-action on $M$ has no fix ed-points\, projective unitary representations $overline{rho}$ of the locally-convex Lie group $mathcal{G} := Gamma_c(mathcal{K})$ are studi ed which are of positive energy and factor entirely through the germs at some fixed point $a in M$ of the $P$-action. Under suitable assumpt ions\, it is shown that the kernel of a particular quadratic form on $ R[[x_1\,cdots\, x_d]]$ generates an ideal in $mathfrak{G} := Lie(mathc al{G})$ on which the derived representation $drho$ must vanish. This l eads in particular to sufficient conditions for $drho$ to factor throu gh a finite jet space $J^k_x(mathcal{K})$ or through $J^infty_a(N\,mat hcal{K})$ for some usually lower-dimensional submanifold $N$. Some exa mples are considered. If time permits\, we will have a closer look at the special case where $P=S^1$. DTSTART:20220516T121500Z DTEND:20220516T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Christian Bönicke\, Univ. of Glasgow UID:78a48f28-4103-4b10-82c4-4d1e74da2d9b DESCRIPTION:Homology and K-theory of ample groupoids Vortragender: Chr istian Bönicke\, Univ. of Glasgow Veranstalter: Kang Li Abstract: C*- algebras built from certain topological groupoids play an increasingly important role in the theory. They are not only a rich source of exam ples\, but additionally provide dynamical models for large abstract cl asses of C*-algebras. This talk will focus on the problem of computing the K-theory for groupoid C*-algebras. In particular\, I will give an overview on some recent progress on a conjecture posed by Hiroki Matu i that relates the K-theory of a groupoid C*-algebra to the homology o f the groupoid itself. DTSTART:20220523T121500Z DTEND:20220523T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Yanga Bavuma (Univ. of\,Capetown)\, Topologica l structure of some central products and their influence on dynamical systems UID:040000008200E00074C5B7101A82E0080000000050C1D729122CDA010000000000 0000001000000029DBB6A593A9544CB64DD7F4192E653B DESCRIPTION:Topological structure of some central products and their i nfluence on dynamical systems Vortragende: Yanga Bavuma (Univ. of\,Cap etown) Einladender: Karl-Hermann Neeb Abstract: The group of Wolfgang Pauli is well known in mathematical physics\, because it describes som e relevant symmetries in quantum dynamical systems. It is less known i ts structure of finite $2$-group of order $16$\, which may be decompos ed in the central product of two of ist subgroups. From this perspecti ve\, the Pauli group has an interesting structure at an algebraic leve l as well. Here a topological perspective is added to the literature. It is described the Pauli group as an appropriate quotient of the fund amental group of $3$-dimensional Riemannian surfaces constructed as tw o distinct orbit spaces of the $3$-dimensional sphere $mathbb{S}^3$\; one orbit space comes from the free action of the quaternion group $Q_ 8$ on $mathbb{S}^3$\; another orbit space comes from a similar action of the cyclic group $mathbb{Z}(4)$ of order $4$ on $mathbb{S}^3$. Appl ications are illustrated for pseudo-fermionic operators\, introducing a relevant framework of quantum mechanics. This suggests a physical in terpretation for the topological decomposition\, which has been found at an abstract level. The connection between groups of symmetries and dynamical systems is in fact well known\, but looking specifically at the algebraic and topological decompositions of the Pauli group\, we f ind conditions for the existence of a Riemannian $3$-manifold whose fu ndamental group is epimorphically mapped to a central product. Zoom li nk: Meeting ID: 968 4204 9915 Passcode: 088989 DTSTART:20220530T121500Z DTEND:20220530T134500Z LOCATION:Zoom-Meeting\, Link siehe Abstract DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: X. Fu (Univ. Toronto): Matrix techniques and a pproximation by invertible UID:10966f33-9db3-4e6a-b458-e6a310fbf0bc DESCRIPTION:Matrix techniques and approximation by invertible Vortrage nder: Xuanlong Fu\, Univ. Toronto Einladender: Kang Li Abstract: If ev ery element in a unital C*-algebra can be approximated in norm by inve rtible elements\, then such C*-algebra is called has stable rank one. A non-unital C*-algebra is called has stable rank one if its minimal u nitization has stable rank one. Stable rank one is a frequently occur phenomenon. In a joint work with Kang Li and Huanxin Lin\, we showed t hat every simple finite Z-stable (not necessary unital) C*-algebra has stable rank one. And many non-Z-stable C*-algebra (for example\, Vill adsen’\;s algebra of first type) also has stable rank one. Recent ly\, in a joint work with Huaxin Lin\, we showed that for a separable simple C*-algebra A which has comparison\, A has stable rank one is eq uivalent to has a tracial matricial structure\, also equivalent to has tracial approximately oscillation zero\, and also equivalent to A has almost stable rank one with the map $Gamma: Cu(A)to LAff_+(tilde{QT}( A))$ is surjective. In this talk\, I will talk about some recent resul ts and some ideas of the proofs. DTSTART:20220620T111500Z DTEND:20220620T124500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Maria S. Adamo (Univ. Tokyo): Structural prope rties of Cuntz-Pimsner algebras associated to\,C*-correspondences over C(X) UID:040000008200E00074C5B7101A82E008000000007000132B122CDA010000000000 00000010000000D226E68691C1454893B564767131C4E3 DESCRIPTION:Structural properties of Cuntz-Pimsner algebras associated to C*-correspondences over C(X) Vortragender: Maria Stella Adamo\, Un iverity of Tokyo Einladender: Karl-Hermann Neeb Abstract: Given a fini te rank vector bundle over a compact metric space X\, we consider the C*-correspondence over C(X) of the continuous sections of the bundle w ith a left action induced by a homeomorphism of X. In this talk\, we w ill discuss the properties of the CuntzPimsner algebras associated to such C*-correspondences\, in particular when the homeomorphism is mini mal and X is a finite-dimensional space\, aiming to classify these C*- algebras using tracial and K-theoretical data\, namely\, the Elliott i nvariant. This talk is based on joint work with D. Archey\, M. Forough \, M. Georgescu\, J. A Jeong\, K. Strung\, M. G. Viola\, arXiv:2202.10 311. DTSTART:20220718T121500Z DTEND:20220718T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: J. Christensen (KU Lueven): (Non)exotic comple tions of the group algebras of isotropy groups UID:040000008200E00074C5B7101A82E0080000000090F9D625122CDA010000000000 00000010000000C9CEFE91CD5A3447BA2E10C6A331E695 DESCRIPTION:Vortragender: Johannes Christensen\, KU Leuven Einladender : Kang Li Abstract: The so-called groupoid C*-algebras play an importa nt role in the theory of C*-algebras\, since there are an abundance of examples of C*-algebras that can be described concretely as such grou poid C*-algebras. To any locally compact étale groupoid one can assoc iate two C*-algebras\, namely the full groupoid C*-algebra and the red uced groupoid C*-algebra. There exists a useful description of a large class of important states on the full groupoid C*-algebra. In this ta lk I will report on a joint project with Sergey Neshveyev where we stu dy which of these states that factors through the reduced groupoid C*- algebra. I will introduce a new C*-norm on the group algebras of the i sotropy groups of a locally compact étale groupoid\, and argue that t his norm completely characterizes when the states we consider factors through the reduced groupoid C*-algebra. I will then present examples which illustrate that our C*-norm can coincide with the full norm\, th at it can be a genuine exotic norm\, but that it in many standard exam ples always is the reduced norm. DTSTART:20220725T121500Z DTEND:20220725T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Cornelia Vizman (Timisoar\, Rumänien) UID:040000008200E00074C5B7101A82E0080000000020878923122CDA010000000000 000000100000004747A2E268F207469E9516916838D692 DESCRIPTION:Vortragende: Cornelia Vizman\, Timisoar Rumänien Veransta lter: Karl-Hermann Neeb Titel: Coadjoint orbits of Ham(R2) consisting of Plane Curves Abstract: Singular vorticities for fluids are confined to coadjoint orbits of the group of volume preserving diffeomorphisms . Some of these coadjoint orbits in 2D and 3D involve closed curves. I will describe their Kostant-Kirillov-Souriau symplectic structures\, as well as prequantizations. DTSTART:20211129T131500Z DTEND:20211129T144500Z LOCATION:Übungsraum Ü2\; Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Kang Li UID:040000008200E00074C5B7101A82E0080000000090B06E27122CDA010000000000 000000100000003484E0DD806AE540855D8C8C0BA0AF4E DESCRIPTION:Vortragender: Kang Li\, FAU Erlangen Veranstalter: Karl-He rmann Neeb Titel: Ghost projections and expanderish graphs Abstract: R oughly speaking\, a ghost operator is often an infinite matrix such th at its matrix entries vanish at the infinity. This notion was introduc ed by Guoliang Yu in the study of the so-called coarse Baum-Connes con jecture. It is a very central topic in coarse geometry and operator al gebras with applications to provide counterexamples to the coarse Baum -Connes conjecture\, the existence of non-exact groups and the rigidit y problem for Roe-type algebras. In this talk\, we will visualize a cl ass of ghost projections in terms of expanderish graphs. DTSTART:20211206T131500Z DTEND:20211206T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Meusburger UID:040000008200E00074C5B7101A82E00800000000E0AACE27122CDA010000000000 00000010000000DA298E7BD061B642AA7823A7F8109899 DESCRIPTION:Vortragende: Catherine Meusburger Veranstalter: Karl-Herma nn Neeb Titel: Turaev-Viro state sum models DTSTART:20211213T131500Z DTEND:20211213T144500Z LOCATION:Übungsraum 2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: C. Meusburger UID:040000008200E00074C5B7101A82E00800000000908C0924122CDA010000000000 00000010000000DC5D6017BAED284A93969A1DFA6D7254 DESCRIPTION:Vortragende: Catherine Meusburger Veranstalter: Karl-Herma nn Neeb Titel: Turaev-Viro state sum models with defects DTSTART:20211220T131500Z DTEND:20211220T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Clément Dell'Aiera UID:040000008200E00074C5B7101A82E00800000000D08A4725122CDA010000000000 00000010000000C09C37670D74904D82ECAC65AA1A7A51 DESCRIPTION:Vortragender: Clément Dell’\;Aiera\, Department of M athematics\, ENS Lyon Veranstalter: Kang Li Titel: Coarse geometry of Hecke pairs and K-theory Abstract: Defined by Shimura in the 50s\, Hec ke pairs are almost normal inclusions of subgroups. Originally number theoretic objects\, they were introduced to operator algebraists by th e celebrated work of Bost and Connes when they discovered a C*-dynamic al system whose partition function was the zêta function. To a Hecke pair\, one can associate a locally compact totally disconnected group replacing the quotient\, its so called Schlichting completion. We give a geometric interpretation to Hecke pairs\, and\, with the help of th e Schlichting completion\, study the K-theory of the reduced group alg ebra of a group with an almost normal subgroup. This allows to prove n ew stability results for the Baum-Connes and Novikov conjectures\, as well as establishing new examples of groups satisfying the Baum-Connes conjecture with coefficients. DTSTART:20220131T131500Z DTEND:20220131T144500Z LOCATION:Online\, Zoom-Meeting DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Jonas Schober\, FAU UID:040000008200E00074C5B7101A82E0080000000000450A23122CDA010000000000 00000010000000B4FD9C440DA0B74E9B6B9B489B3627C5 DESCRIPTION:Vortragender: Jonas Schober\, FAU Veranstalter: Karl-Herma nn Neeb Titel: One-parameter semigroups of unitary endomorphisms of st andard subspaces Abstract: Starting with a von Neumann algebra that ha s a cyclic and separating vector\, the Tomita-Takesaki theory allows t o translate this setting to the theory of standard subspaces. Here\, m otivated by the Haag-Kastler theory of local observables in Quantum Fi eld Theory\, one considers certain groups of unitary operators and is interested in the semigroup of these unitaries that map the standard s ubspace into itself. Classical results in this context are given in th e works of Borchers and Wiesbrock and by Longo/Witten. In my PhD proje ct I primarily focus on one-parameter semigroups of unitary endomorphi sms of standard subspaces. I show a way how to link these to reflectio n positive Hilbert spaces and Hankel operators and in this context I i nvestigate the unitary one-parameter semigroups appearing in the works by Longo and Witten that come from so called Pick functions. DTSTART:20220207T131500Z DTEND:20220207T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Shirly Geffen (KU Leuven) UID:8e58e084-c07f-43e3-8fdb-0a3a41035bf7 DESCRIPTION:Dynamical comparison of amenable actions by non-amenable g roups Vortragende: Shirly Geffen\, LU Leuven Veranstalter: Kang Li Abs tract: We pull back paradoxical dynamical systems (e.g. hyperbolic gro ups acting on their Gromov boundary)\, to paradoxical decompositions o f the acting group itself. This allows us to show that whenever such g roups admit a minimal amenable topologically free action on a compact Hausdorff space\, the system has dynamical comparison and the attached crossed product is a purely infinite classifiable C*-algebra. DTSTART:20220425T121500Z DTEND:20220425T134500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Maria Stella Adamo\, Univ. Leipzig UID:bf983edc-e32f-480e-bd1e-a5c75b8055c4 DESCRIPTION:On the classification of reflection positive representatio ns for the groups Z and R Vortragende: Maria Stella Adamo\, Universit ät Leipzig Veranstalter: Karl-Hermann Neeb Abstract: In this talk\, w e will discuss the classification of reflection positive representatio ns for the triples (Z\;N\;-idZ) and (R\;R+\;-idR). The compatibility c ondition between the representation and the reflection positive Hilber t space is often complicated to fit. For this reason\, we tackle the p roblem from the new perspective of positive Hankel operators\, showing that positive Henkel representations for the triples (Z\;N\;-idZ) and (R\;R+\;-idR) produce reflection positive representations. This is jo int work with K.-H. Neeb\, J. Schober. DTSTART:20210504T121500Z DTEND:20210504T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Daniel Oeh UID:990fc207-7961-4688-83d9-c9b59e303476 DESCRIPTION:Geometry and construction of standard subspaces from a rep resentation theoretic perspective Vortragende: Daniel Oeh Veranstalter : Karl-Hermann Neeb DTSTART:20210511T121500Z DTEND:20210511T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen: Daniel Oeh UID:8c5c2ff1-7457-4fa4-918c-431434500139 DESCRIPTION:Nets of standard subspaces induced by antiunitary represen tations of admissible Lie Groups Vortragende: Daniel Oeh Veranstalter: Karl-Hermann Neeb DTSTART:20210518T121500Z DTEND:20210518T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: no Seminar UID:040000008200E00074C5B7101A82E0080000000040739F29122CDA010000000000 00000010000000C162387AD9EF174F89CB89115311B077 DTSTART:20210525T121500Z DTEND:20210525T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Jonas Schober\, FAU UID:48840edb-58db-4219-91e0-6dbe310de749 DESCRIPTION:Pick functions and an application to Hankel operators on H ardy spaces Vortragender: Jonas Schober\, FAU Veranstalter: Karl-Herma nn Neeb DTSTART:20210601T121500Z DTEND:20210601T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Jonas Schober\, FAU UID:565e7c62-4f0d-4ac2-a2e3-e5dd6fe7f9b8 DESCRIPTION:Reflection positivity and unimodular symbols for positive Hankel operators Vortragender: Jonas Schober\, FAU Erlangen-Nürnberg Veranstalter: Karl-Hermann Neeb DTSTART:20210608T121500Z DTEND:20210608T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Vinzenco Morinelli\, FAU UID:1767ce1f-ad46-414b-b266-cd6d3f29e2dd DESCRIPTION:Scaling limit of lattice QFT Vortragender: Vinzenzo Morine lli\, FAU Erlangen-Nürnberg Veranstalter: Karl-Hermann Neeb Abstract: We present a rigorous renormalization group scheme for lattice quantu m field theories in terms of operator algebras. The renormalization gr oup is considered as an inductive system of scaling maps between latti ce field algebras. We construct scaling maps for scalar lattice fields using Daubechies’\; wavelets\, and show that the projective limi t of free lattice ground states exists. We show that we fully recover the continuum massive field in the scaling limit. Joint work with G. M orsella\, A. Stottmeister\, Y. Tanimoto\, https://arxiv.org/abs/2010.1 1121 and https://arxiv.org/abs/2002.01442 DTSTART:20210622T121500Z DTEND:20210622T134500Z LOCATION:Online DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: V. Koppen UID:4ad50133-a8df-4691-8b73-e6ea172b675f DESCRIPTION:tba Vortragende: Vincent Koppen\, Univ. Hamburg Veranstalt er: Karl-Hermann Neeb DTSTART:20191209T131500Z DTEND:20191209T154500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: S. Halbig UID:040000008200E00074C5B7101A82E0080000000070146F29122CDA010000000000 000000100000006287CB94345D6245B0C955DA4318E0C3 DESCRIPTION:tba/b> Vortragende: Sebastian Halbig Veranstalter: Karl-He rmann Neeb DTSTART:20191216T131500Z DTEND:20191216T154500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: A. Sasaki UID:230bb288-7c8b-49a8-8294-592c30245f98 DESCRIPTION:Visible actions and geometric criteria for multiplicity-fr eeness of representations of Heisenberg groups Vortragende: Atsumu Sas aki\, Tokai University Veranstalter: Karl-Hermann Neeb Abstract: The n otion of strongly visible actions on complex manifolds has been introd uced by T. Kobayashi (2004\, 2005) to give an unified explanation of m ultiplicity-freeness property of representations of Lie groups which a re realized in holomorphic sections of Hermitian holomorphic vector bu ndles (Propagation theorem of multiplicity-freeness property for holom orphic vector bundles). Many examples of strongly visible actions has been found in connection with multiplicity-free representations. Then\ , we expect that multiplicity-free representations realized in holomor phic sections have strongly visible actions on the base spaces. Recent ly\, the classification problems of strongly visible actions are solve d in various setting such as Hermitian symmetric spaces\, flag varieti es\, linear spaces\, nilpotent orbits and reductive complex homogeneou s spaces. In this talk\, we give a classification of strongly visible actions on complex Heisenberg homogeneous spaces. Moreover\, as an app lication\, we give a new geometric criterion for the quasi-regular rep resentation of Heisenberg group to be multiplicity-free by strongly vi sible actions DTSTART:20200113T131500Z DTEND:20200113T154500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: P. Helmreich UID:47ab0e86-f9a2-40d2-9452-1b70335b22f6 DESCRIPTION:Ein Konvexitaetssatz fuer getwisteten Hilbert-Schleifenalg ebren Vortragende:: Peter Helmreich Veranstalter: Karl-Hermann Neeb DTSTART:20200127T131500Z DTEND:20200127T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: K.-H. Neeb UID:a230a879-daf0-4405-a000-0503691790c8 DESCRIPTION:Covariant systems of standard subspaces on Lie groups and homogeneous spaces DTSTART:20200203T131500Z DTEND:20200203T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Atsumu Sasaki UID:7a59e5e9-2b91-4b18-ac19-0d4c6ee4d084 DESCRIPTION:Vortragende: Atsumu Sasaki Veranstalter: Karl-Hermann Neeb A duality between non-compact semisimple symmetric pairs and commutat ive compact semisimple symmetric triads Abstract: A duality between no n-compact semisimple symmetric pairs and commutative compact semisimpl e symmetric triads. Abstract: It is a well-known fact that there is a one-to-one correspondence between Riemannian semisimple symmetric pair s of compact type and those of non-compact type. This correspondence i s usually called the duality for Riemannian semisimple symmetric pairs . In this talk\, I will give a survey of a generalization of the duali ty to pseudo-Riemannian setting. Namely\, we provide an explicit descr iption of a one-to-one correspondence between equivalence classes in n on-compact pseudo-Riemannian semisimple symmetric pairs and those in c ommutative compact semisimple symmetric triads. We call it the duality theorem. If time allows\, I will mention the motivation on differenti al geometry and its application to geometric structures of orbits of t he symmetric subgroup actions on (not only Riemannian but also pseudo- Riemannian) symmetric spaces. DTSTART:20200210T131500Z DTEND:20200210T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen: Masterkolloquium UID:188ec5ef-b443-49b6-addf-e78ec8e062b2 DESCRIPTION:Masterkolloquium Florian Lübbersmeyer Vortragender: Flori an Lübbersmeyer Veranstalter: Karl-Hermann Neeb DTSTART:20190715T121500Z DTEND:20190715T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:bb93bb8a-35e0-4f3d-8a5c-3cb0be457b3c DESCRIPTION:On the Bisognano-Wichmann property for one-particle nets V ortragende: Vincenzo Morinello\, Univ. Rome 2 Veranstalter: Karl-Herma nn Neeb Abstrakt: The Bisognano-Wichmann (B-W) property states that\, in a local quantum field theory\, the modular group associated to any wedge algebra has a geometrical meaning: it implements a one parameter group of boosts of the covariant Poincaré representation. There is n o general understanding of this property\, in particular for massless possibly interacting theory. In this talk it is given an overview on t he B-W property and recalled the sufficient condition on the covariant representations in the one particle setting\, called modularity condi tion introduced in [M.\, Ann. H. Poinc. 2018]. It will be further desc ribed how it applies to massless one particle theories. This is the fi rst step to state the B-W property for bosonic interacting massless th eories. DTSTART:20190722T121500Z DTEND:20190722T144500Z LOCATION:Übungsraum Ü2 DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:22d17394-6c12-42ae-b911-9812659b82c1 DESCRIPTION:Dynamical zeta functions\, Fried’\;s conjecture and r efined analytic torsion Vortragende: Frau Polyxeni Spilioti PhD Verans talter: Jan Frahm Abstract: The dynamical zeta functions of Ruelle and Selberg are functions of a complex variable $s$ and are associated wi th the geodesic flow on the unit sphere bundle of a compact hyperbolic manifold. Their representation by Euler-type products traces back to the Riemann zeta function. In this talk\, we will present trace formul ae and the machinery that they provide to study the analytic propertie s of the dynamical zeta functions and their relation to the analytic t orsion\, a spectral invariant. One can refer to this relation as the s o called Fried’\;s conjecture. In the case of a non-unitary twist \, i.e.\, a non-unitary representation of the fundamental group of the manifold\, one has to consider a refinement of the analytic torsion a s it is introduced by Braverman and Kappeler. In addition\, time depen ding\, we will present other trace formulae such as the Lefschetz form ula\, and their application to prime geodesic theorems for locally sym metric spaces of higher rank. DTSTART:20190723T140000Z DTEND:20190723T150000Z LOCATION:Hörsaal H13\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie-Gruppen: Neeb\, Was sind Quantenfeldtheorien auf homoge nen Raeumen\, Teil 1 UID:6883bbcc-fa6c-4bde-8dac-e547eecae112 DESCRIPTION:Was sind Quantenfeldtheorien auf homogenen Raeumen\, Teil 1 Vortragende: Karl-Hermann Neeb Veranstalter: Karl-Hermann Neeb DTSTART:20191021T121500Z DTEND:20191021T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen: Neeb\; Was sind Quantenfeldtheorien auf homoge nen Raeumen\, Teil 2 UID:3c7e7915-f893-4b40-9605-3d9453bc1ae2 DESCRIPTION:Was sind Quantenfeldtheorien auf homogenen Raeumen\, Teil 2 Vortragende: Karl-Hermann Neeb Veranstalter: Karl-Hermann Neeb DTSTART:20191028T131500Z DTEND:20191028T154500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen: Oeh\; Lie-Keile von Endomorphismenhalbgruppen von Standard-Unterräumen in hermiteschen Lie Algebren UID:9f7b8781-559c-4977-a6d3-1684150c548d DESCRIPTION:Lie-Keile von Endomorphismenhalbgruppen von Standard-Unter räumen in hermiteschen Lie Algebren Vortragende: Daniel Oeh Veranstal ter: Karl-Hermann Neeb DTSTART:20191104T131500Z DTEND:20191104T154500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:fa9bbf3d-4eb6-43f7-bca6-e0da1ad6083e DESCRIPTION:Klassifikation von Lie-Keilen von Endomorphismenhalbgruppe n von Standard-Unterräumen Referent: Daniel Oeh Veranstalter: Karl-He rmann Neeb DTSTART:20190506T121500Z DTEND:20190506T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:03e527c0-af4f-40ed-bc39-7c611fd4b3c9 DESCRIPTION:Metaplectic representations of Hecke algebras Referent: Pr of. Dr. Siddharta Sahi\, Rutgers University\, NJ Veranstalter: Karl-He rmann Neeb DTSTART:20190520T121500Z DTEND:20190520T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:3dc5c674-5674-4c42-b577-248176deefd1 DESCRIPTION:Subgroup Commutativity Degree of Profinite Groups Vortrage nder: Dr. Francesco Russo\, University of Cape Town\, South Africa Ver anstalter: Karl-Hermann Neeb Abstract: In the present talk it will be introduced a probability measure\, which counts the pairs of closed co mmuting subgroups in infinite groups. This measure turns out to be an extension of what was known in the finite case as subgroup commutativi ty degree. After a short survey of the known results in the finite cas e\, the profinite case will be discussed with details. The so called & #8221\;topologically quasihamiltonian groups”\; are described by the case of subgroup commutativity degree equal to one. This is a join t work with my Phd student Eniola Kazeem (University of Cape Town\, Ca pe Town\, South Africa). DTSTART:20190527T121500Z DTEND:20190527T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:9a69eef9-6fa4-4735-971a-dc754daff2da DESCRIPTION:Lightlike and ideal tetrahedrons Vortragende: Catherine Me usburger Veranstalter: Karl-Hermann Neeb DTSTART:20190603T121500Z DTEND:20190603T144500Z LOCATION:Übungsraum Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen: ENTFÄLLT UID:040000008200E00074C5B7101A82E008000000007072B322122CDA010000000000 00000010000000575C333DC3ADF5489F04000293BC2A0A DTSTART:20190617T121500Z DTEND:20190617T144500Z DTSTAMP:20260908T030809Z END:VEVENT BEGIN:VEVENT SUMMARY:AG Lie Gruppen UID:8167d547-fc66-4018-8cbc-c6ee69b40225 DESCRIPTION:Lightlike and ideal tetrahedrons 2. Teil Vortragende: Cath erine Meusburger Veranstalter: Karl-Hermann Neeb Hinweis: Fortsetzung Vortrag vom 3.6.19 DTSTART:20190701T121500Z DTEND:20190701T144500Z LOCATION:Übung Ü2\, Cauerstr. 11\, Erlangen DTSTAMP:20260908T030809Z END:VEVENT END:VCALENDAR