Topological and mixing properties for algebraic groups over local fields in characteristic zero

Seminar
Speaker
Elyasheev Leibtag (Weizmann Institute of Science)
Date
05/06/2024 - 11:30 - 10:30Add to Calendar 2024-06-05 10:30:30 2024-06-05 11:30:00 Topological and mixing properties for algebraic groups over local fields in characteristic zero We show that for algebraic groups over local fields of characteristic zero, the following are equivalent: Every homomorphism has a closed image, every unitary representation decomposes into a direct sum of finite- dimensional and mixing representations, and the matrix coefficients are dense within the algebra of weakly almost periodic functions over the group.  In our proof, we employ methods from semi-group theory. We establish that these groups are compactification-centric, meaning sG = Gs for any element s in the weakly almost periodic compactification of the group G.   ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062 Third floor seminar room and Zoom אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room and Zoom
Abstract

We show that for algebraic groups over local fields of characteristic zero, the following are equivalent:

Every homomorphism has a closed image, every unitary representation decomposes into a direct sum of finite- dimensional and mixing representations, and the matrix coefficients are dense within the algebra of weakly almost periodic functions over the group. 

In our proof, we employ methods from semi-group theory. We establish that these groups are compactification-centric, meaning sG Gs for any element in the weakly almost periodic compactification of the group G.

 

================================================

https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062

תאריך עדכון אחרון : 29/05/2024