Monday, February 8, 2021
Time  Items 

All day 

4:00pm 
02/08/2021  4:00pm I will discuss a quantitative variant of the classical KazhdanMargulis theorem generalized to stationary actions of semisimple groups over local fields. More precisely, the probability that the stabilizer of a random point admits a nontrivial intersection with a small rneighborhood of the identity is at most a constant times r^d, for some explicit d > 0 depending only on the semisimple group in question. Our proof involves some of the original ideas of Kazhdan and Margulis, combined with methods of Margulis functions as well as (C,alpha)good functions on varieties. As an application, we present a new unified proof of the fact that all lattices in these groups are weakly cocompact, i.e admit a spectral gap. The talk is based on a preprint joint with Gelander and Margulis. Location:
Zoom
02/08/2021  4:30pm I will discuss some ongoing work with E.Witten, exploring features of Location:
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
