Newelski's question on definably amenable groups over $p$-adics
发布时间:2024年04月10日
浏览次数:821
发布者: Jing Liu
主讲人: Zhentao Zhang(Fudan University)
活动时间: 从 2024-04-15 14:00 到 15:00
场地: Room 9, Quan Zhai, BICMR
Abstract:
Let $G$ be a definably amenable groups over $p$-adics. We study the definable topological dynamics $(G, S_G(\mathbb{Q}_p))$ of $G$ acting on its type space. We focus on the question of whether weakly generic types coincide with almost periodic types which was raised by Newelski and then restarted by Chernikov and Simon on NIP definably amenable groups.
We show that the stationarity is a sufficient and necessary condition for the positive answer of the question. This is a joint work with Ningyuan Yao.