Cyril Houdayer——Noncommutative ergodic theory of lattices in higher rank simple algebraic groups

题目：Noncommutative ergodic theory of lattices in higher rank simple algebraic groups

报告人：Cyril Houdayer (University of Paris-Saclay)  

时间：4月20日(星期三)，16:00-17:30

地点：Zoom会议，会议号：938 5012 7691，密码：123399

摘要：In this talk, I will present a noncommutative Nevo-Zimmer theorem for actions of lattices in higher rank simple algebraic groups on von Neumann algebras. This extends to the realm of algebraic groups defined over arbitrary local fields the noncommutative Nevo-Zimmer theorem we obtained with Rémi Boutonnet in 2019 for real Lie groups.

I will discuss various applications of the above theorem to topological dynamics, unitary representations and operator algebras. I will also present a noncommutative analogue of Margulis’ factor theorem and discuss its relevance regarding Connes’ rigidity conjecture for group von Neumann algebras of higher rank lattices.

This is based on joint work with Uri Bader and Rémi Boutonnet (arXiv:2112.01337)

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