Todor Tsankov : Representation theory for non-locally compact groups

Posted by Christian Rosendal , part of the Departmental Colloquium.

At

Oct. 21, 2011, 3 p.m.

In

SEO 636

Abstract

Abstract harmonic analysis and representation theory have traditionally been developed on locally compact groups, where the Haar measure and the regular representation provide the basic tools. However, symmetry groups of infinite combinatorial objects or infinite-dimensional spaces are usually not locally compact, and yet their linear representations occur naturally in various contexts. In this talk, I will describe examples of such groups and survey some old and new classification results for their representations.