AG Lie-Gruppen: Karl-Hermann Neeb, FAU: Conformal Causal Spaces and Nets of Real Subspaces

Conformal Causal
Spaces and Nets of Real Subspaces – Vortragender: Karl-Hermann Neeb, FAU Erlangen-Nürnberg – Einladender: K.-H. Neeb

Abstract: The natural context for conformal causal
geometry are causal flag manifolds G/P and their coverings. Beyond dimension 2
the conformal groups are finite-dimensional and, in the irreducible context,
G/P is a conformal compactification of a euclidean Jordan algebra. For rank r =
2, these are precisely the Minkowski spaces. The simply connected coverings of
these spaces carry global causal orders and are also known under the name “simple
Jordan spacetimes”. We briefly discuss the classification of these spaces and
which unitary representations of G permit nets of real subspaces based on open
subsets of M and its coverings. If time permits, we also discuss locality
conditions, which, for Minkowski space, include Huygens’ Principle.