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Local-to-Global rigidity for singular spaces (GGT-Seminar)

Local-to-Global rigidity for singular spaces (GGT-Seminar)



SR 1.067 (20.30) 


Dr. Romain Tessera


16:00 Uhr 

Abstract: It is well-known that every simply connected homogeneous Riemannian manifold M is "characterized up to isometry" by its ball of radius 1. Precisely: if N is another (not necessarily homogeneous) simply connected Riemannian manifold whose balls of radius 1 are all isometric to a ball of radius 1 in M, then M and N must be isometric.

In this talk, we investigate an analogous property for singular metric spaces, such as Cayley graphs of finitely generated groups, affine buildings...

This is joint work with Mikael de la Salle.