Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.
For any information, please send an e-mail to dgseminar.torino@gmail.com.
The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino).
NEXT TALK
07/10/2026, 14.30, Aula 1, Deparment of Mathematics "G. Peano" , Università di Torino,
Cauchy serfaces of Anti-de Sitter manifolds
Abstract: Globally hyperbolic Lorentzian manifolds are mathematical models of spacetimes: they are foliated by Riemannian hypersurfaces called Cauchy surfaces. The name comes from the fact that they arise as initial data of Einstein equations. The model for Lorentzian manifolds with constant negative curvature, is the Anti-de Sitter space H^{n,1}. This space generalizes the hyperbolic space in signature (n, 1), and has been studied in the framework of higher rank Lie groups, being a Lorentzian symmetric space for the Lie group PO(n, 2).
In this talk, I will show that all Cauchy surfaces of a globally hyperbolic Anti-de Sitter manifold have the same large-scale geometry, and discuss applications of this result.
FORTHCOMING TALKS
19/10/2026, 14.30, Sala S, Deparment of Mathematics "G. Peano", Prof. Matthew Gursky.
20/10/2026, 10. 30, Sala S, Deparment of Mathematics "G. Peano" , Dott. Aaron J. Tyrrell.