Oct 20. 2023, 15:20 — 16:10
I will describe a bijective correspondance between, on one side, Globally hyperbolic maximal anti-de Sitter manifolds of dimension $2d+1$ with a compact convex Cauchy hypersurface, and, on the other side, compact quotients of the pseudo-Riemannian symmetric space $O(2d,2)/U(d,1)$. This symmetric space can be interpreted as the space of timelike unitary Killing fields of $AdS^{2d+1}$.
This is based on joint works with Daniel Monclair, Jean-Marc Schlenker and Fanny Kassel.