Event

Geometry and Topology seminar

  • Conférencier  Romain Tessera (Université Paris-Saclay)

  • Lieu

    Campus Belval Maison du Nombre Room E06-0615440 (6th floor 6A)

    6, avenue de la Fonte

    4364, Esch-sur-Alzette, LU

  • Thème(s)
    Mathématiques

Local-to-global rigidity

It is well-known that a simply connected homogeneous Riemannian manifold satisfies the following « local-to-global rigidity » property: any simply connected Riemannian manifold N whose balls of radius 1 are isometric to the ball of radius 1 of M must be isometric to M. In this talk we shall study this property in the setting of vertex-transitive graphs. In particular, we characterize local-to-global rigid building among those of SL(n,K) where K is a local field (not necessarily commutative).

This is a joint work with Mikael de la Salle.