Student Working Seminar in Groups and Dynamics

Date: October 2, 2019

Time: 1:00PM - 2:00PM

Location: BLOC 628

Speaker: James O'Quinn

Title: Topological full groups, amenability, and G-odometers

Abstract: Topological full groups were first introduced by Giordano,Putnam, and Skau as an invariant related to orbit equivalence for minimal cantor systems. However, more recent interest has been given to these groups because they provide examples of groups with interesting properties related to amenability. In this talk, I will give an overview of some of the basic concepts of topological dynamics, as well as introduce topological full group and the concept of amenability. The goal is to explicitly describe the structure of the topological full groups coming from G-odometers, following a paper of Cortez and Medynets."