Logic Seminar
Kyle Gannon
Notre Dame
Generically stable measures in independent theories
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.
Tuesday October 8, 2019 at 3:30 PM in 427 SEO