Aaron Hill : Topological similarity in the group of invertible measure-preserving transformations

Posted by , part of the Logic Seminar.

At

April 26, 2011, 3 p.m.

In

SEO 612

Abstract

Two elements g and h of a Polish group G are topologically similar if for every sequence (i_n) of integers, (g^{i_n}) converges to the identity iff (h^{i_n}) converges to the identity. We'll explore this notion in the group of invertible measure- preserving transformations, showing connections to mixing properties, centralizers, and conjugacy classes of transformations.

Tea at 2:30pm in SEO 300