La propriété (T) pour les groupes polonais Roelcke-précompacts, d'après Ibarlucía, s'appuyant sur des travaux de Ben Yaacov et Tsankov

François Le Maître

22-May-2021, 08:30-09:30 (3 years ago)

Abstract: In this talk, I will present a recent result of Ibarlucía stating that every Roelcke-precompact Polish group has Kazdhan’s property (T). This striking theorem builds on the characterization of Roelcke-precompact Polish groups as automorphism groups of $\aleph_0$-categorical metric structures due to Ben Yaacov and Tsankov. I will present the underlying concepts coming from model theory, and I will outline Ibarlucía’s proof in the (already new !) particular case of the group of measure-preserving transformations of a standard probability space.

Mathematics

Audience: researchers in the discipline


Séminaire Bourbaki (Samedi)

Organizer: Betty Bourbaki*
*contact for this listing

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