Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, L. Patey, A. Vignati
Email des responsables : sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain

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Orateur(s) Gianluca Basso - Université Lyon I,
Titre Topological dynamics beyond Polish groups, and the ambitability question
Horaire15:15 à 16:15
RésumeWhen $G$ is a Polish group, one way of knowing that it has nice dynamics is to show that $M(G)$, the universal minimal flow of $G$, is metrizable. For non-Polish groups, this is not the relevant dividing line: the universal minimal flow of the symmetric group of a set of cardinality $\kappa$ is the space of linear orders on $\kappa$–not a metrizable space, but still nice–, for example. In this talk, we present a set of equivalent properties of topological groups which characterize having nice dynamics. We then concentrate on an open question of Pachl and its consequences on the dynamics of topological groups. This is joint work with Andy Zucker.
AdresseSophie Germain