Minh Tran : The inverse Kemperman problem

Posted by Filippo Calderoni , part of the Logic Seminar.

At

Sept. 28, 2021, 4 p.m.

In

636 SEO

Abstract

A recurring theme in model theory is that under suitable assumptions (stabilty, NIP, small expansions, etc), definable groups resemble geometric groups (algebraic groups, Lie groups, etc) at different levels. I will explain how this comes into play in the recent solution of the Inverse Kemperman problem by Jinpeng An, Yifan Jing, Ruixiang Zhang and I. Our proof also uses some descriptive set theory, in particular, an automatic continuity result.