时间：2024年5月23日（周四）14:00-15:00
地点：西湖大学云谷校区E4-233
主持人：Thierry De Pauw, ITS
主讲人：Adrien Boyer, Université Paris Cité
主讲人简介：Professor Boyer was a student at the Ecole Normale Supérieure, Lyon. He graduated with a Phd from Aix-Marseille Université, under the direction of Christophe Pittet in 2014. He spent three years as a postdoctoral fellow in Israel; at the Technion and at the Weizmann Institute of Sciences. He joined the Université Paris Diderot (now Paris Cité) in 2017 as an Associate Professor.
讲座主题：On some aspects of boundary representations
讲座摘要: I will discuss, in the case of the group SL(2,R), some aspects of boundary representations. Such a group acts naturally on its symmetric space. This action extends to the boundary on which almost all irreducible unitary representations can be realized. All these representations restrict to some interesting discrete subgroups: the lattices in SL(2,R). I will try to explain the interplay between ergodic theory, potential theory, and spectral estimates to obtain an ergodic theorem "à la von Neumann" for boundary representations. If time permits, I will discuss generalizations to other contexts of these tools and state some open conjecture.
