Bratteli-Vershik models for Cantor and Borel dynamical systems
Speaker: Shrey Sanadhya
Date: Tue, May 19, 2020
Location: Zoom
Conference: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Date: Tue, May 19, 2020
Location: Zoom
Conference: Online working seminar in Ergodic Theory, 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).
