Kyle Gannon : Generically stable measures in independent theories

Posted by James Freitag , part of the Logic Seminar.

At

Oct. 8, 2019, 3:30 p.m.

In

427 SEO

Abstract

In the context of NIP theories, generically stable measures have three main equivalent definitions. In particular, Hrushovski, Pillay and Simon showed a global Keisler measure is generically stable if any one/all of the following hold: (1) the measure is generically stable (otherwise known as FIM), (2) the measure if finitely approximable, and (3) the measure is definable and finitely satisfiable over a small model. The purpose of this talk is to discuss how these different definitions separate if we remove the NIP assumption. This is joint work with Gabriel Conant.