Set theory workshop
Kostyantyn Slutskyy
UIC
Space decomposition techniques in Borel dynamics
Abstract: In recent years a substantial progress has been achieved in the field of Borel dynamics. A part of this progress is due to the development of space decomposition methods. The goal of the talk is to make an overview of the old and new results that have been proved along this path. In particular, we will discuss in various degrees of details the following: Dougherty-Jackson-Kechris classification of hyperfinite Borel equivalence relations, Multi-Tower Rokhlin Lemma for Borel automorphisms and regular cross sections of Borel flows, Lebesgue orbit equivalence of multidimensional flows, and Hochman's proof of existence of finite generators for compressible automorphisms.
Sunday October 23, 2016 at 11:30 AM in SEO 636