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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


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.