Classifying invariants and Borel equivalence relations

15.12.2022 10:00 - 10:45

Assaf Shani (Harvard University)

 

 

Abstract: A classification problem is a pair (X,E) where X is a collection of mathematical objects and E is a natural notion of equivalence (such as isomorphism). The theory of Borel equivalence relations provides a precise way to measure the complexity of various classification problems, and to study what type of invariants may, or may not, be used to successfully classify these problems.

In this talk I will introduce the general theory of Borel equivalence relations: the objects of study, the general goals, and how it is used to study natural classification problems in mathematics. I will then present recent developments in the general theory as well as applications to specific classification problems and to the study of Polish group actions.  

 

univienna.zoom.us/j/63166383248

 

 

Organiser:
Fakultät für Mathematik, Dekan R. I. Bot
Location:
SR 16 (2 OG, Kolingasse)