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SUMMARY:François Le Maître
DTSTART:20210522T083000Z
DTEND:20210522T093000Z
DTSTAMP:20260423T010235Z
UID:Bourbaki/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Bourbaki/8/"
 >La propriété (T) pour les groupes polonais Roelcke-précompacts\, d'apr
 ès Ibarlucía\, s'appuyant sur des travaux de Ben Yaacov et Tsankov</a>\n
 by François Le Maître as part of Séminaire Bourbaki (Samedi)\n\n\nAbstr
 act\nIn this talk\, I will present a recent result of Ibarlucía stating t
 hat every Roelcke-precompact Polish group has Kazdhan’s property (T). Th
 is striking theorem builds on the characterization of Roelcke-precompact P
 olish groups as automorphism groups of $\\aleph_0$-categorical metric stru
 ctures due to Ben Yaacov and Tsankov. I will present the underlying concep
 ts coming from model theory\, and I will outline Ibarlucía’s proof in t
 he (already new !) particular case of the group of measure-preserving tran
 sformations of a standard probability space.\n
LOCATION:https://researchseminars.org/talk/Bourbaki/8/
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