Groups and Dynamics Seminar

Date: February 6, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Nicolas Matte Bon, ETH Zurich

Title: Orderable groups arising from Cantor dynamical systems

Abstract: To every homeomorphism of the Cantor set, we associate a group of homeomorphisms of the real line. It is defined by an action on the mapping torus of the dynamical system which preserve each orbit of the suspension flow. I will explain how this produces a class of finitely generated simple groups of homeomorphisms of the real line, and investigate further properties of this construction.