Louise Hay Logic Seminar
Devrim Pekmezci
UIC
Ellis Group Conjecture
Abstract: Newelski introduced tools from topological dynamics into model theory to generalize the notion of a generic type from stable group theory to arbitrary first-order theories. He adapted Ellis’s theory to the definable setting and introduced what is now known as the Ellis Group Conjecture, which relates the Ellis group of the space of types concentrating on a definable group G, viewed as a G-flow, to the maximal compact quotient of G, a model-theoretic invariant, under suitable tameness assumptions. The conjecture has been established for definably amenable groups in NIP theories by Chernikov and Simon. In this talk, we will outline the conjecture’s motivation, introduce the key concepts surrounding it, and discuss possible directions for further research.
Wednesday October 29, 2025 at 4:00 PM in 427 SEO