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.
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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 s 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