Julien Melleray : Generic actions of countable groups.

Posted by Christian Rosendal , part of the Logic Seminar.

At

Sept. 8, 2011, 3 p.m.

In

SEO 1227

Abstract

The space of actions of a given countable group on a fixed structure (e.g a separable Hilbert space) may often be endowed with a Polish topological structure. It is then natural to wonder whether one can describe which properties are generic (in the sense of Baire category). I'll discuss this problem, for countable abelian groups, in the settings of a separable Hilbert space and Urysohn's universal metric space. This is joint work with T. Tsankov.