Bratteli-Vershik models for Cantor and Borel dynamical systems

Speaker: Shrey Sanadhya

Date: Tue, May 19, 2020

Location: Zoom

Conference: University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific

Abstract:

In this talk we will introduce Bratteli diagrams and Vershik maps. Herman-Putnam-Skau proved that for every minimal Cantor dynamical system there exists a Bratteli-Vershik model. We will discuss the proof of this theorem, some of its applications and recent developments. We will also discuss Bratteli-Vershik models for Borel dynamical systems (Bezuglyi-Dooley-Kwiatkowski). Finally, we will briefly talk about connections between Bratteli diagrams and flows on translation surfaces (Lindsey-Treviño).