Title: F-generic types in NIP groups

Speaker：Atticus Stonestrom (University of Notre Dame)

Time: 2024/11/13 10:00-11:00

Zoom room: 717 463 6082

Organizer: Kyle Gannon (BICMR)

Abstract：

　　In stable group theory, a key role is played by "generic" types. In the more general setting of definably amenable NIP groups, these no longer suffice, and the appropriate substitute is given by "f-generic" types. I will present a positive answer to a question of Chernikov and Simon, showing that, for an NIP group, definable amenability is equivalent to the existence of f-generic types. As a quick application, I will show any dp-minimal group is definably amenable.