EVENT DETAILS AND ABSTRACT

Title: Descriptive Kakutani equivalence
Speaker: Professor Christian Rosendal
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

Kakutani equivalence of invertible measure preserving transformations is a long established tool for investigating measurable flows up to time change. We consider a descriptive analogue of this for Borel automorphisms of standard Borel spaces in the absence of a measure. This leads to a complete classification of all Borel automorphisms up to Kakutani equivalence and thus by consequence also a classification of all Borel flows up to a time change. However, automorphisms only represent the beginning of a larger classification program for all (not necessarily invertible) Borel transformations. This is joint work with Benjamin Miller.