10–14 juin 2024
Institut Henri Poincaré
Fuseau horaire Europe/Paris
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Constructing super-expanders from actions of higher rank lattices

10 juin 2024, 11:00
1h
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Tim De Laat (University of Münster)

Description

Super-expanders are sequences of finite, d-regular graphs that
satisfy some nonlinear form of spectral gap with respect to all
uniformly convex Banach spaces. This notion vastly strengthens the
classical notion of expander. In this talk I will explain some recent
constructions of super-expanders, coming from actions of higher rank
lattices on Banach spaces and on manifolds. I will also review some
recent constructions of (usual) expanders, for which we do not know
whether they are super-expanders.

Documents de présentation

Aucun document.