# Rémi Boutonnet: On the unitary dual of higher rank semi-simple lattices

Wednesday Stockholm Zoom Seminar

**Time: **
Wed 2020-06-10 13.15 - 14.15

**Location: **
Zoom, meeting ID: 689 4480 8319

**Participating: **
Rémi Boutonnet, Bordeaux

### Abstract

In this talk, based on joint work with Cyril Houdayer, I will present a curious property of the unitary representations of lattices in semi-simple higher rank Lie groups: either they contain a finite dimensional invariant subspace or they are factorizations of the regular representation, in a strong sense. I will explain how this result generalizes and unifies recent advances in operator algebras. Our approach relies on ergodic theory and stationary dynamical systems.