Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Invariant random subgroups and applications to lattices
Speaker: Tsachik Gelander, Weizmann Institute of Science
Date: September 13, 2021
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In mathematics in general, it is fruitful to allow randomness. Indeed, it is often easier to deal with random rather than deterministic objects. It seems miraculous, however, when we are able to say more about deterministic objects by considering them as random ones.
Title of Talk: Invariant random subgroups and applications to lattices
Speaker: Tsachik Gelander, Weizmann Institute of Science
Date: September 13, 2021
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In mathematics in general, it is fruitful to allow randomness. Indeed, it is often easier to deal with random rather than deterministic objects. It seems miraculous, however, when we are able to say more about deterministic objects by considering them as random ones.
The notion of invariant random subgroups (IRS) has proven extremely useful to the study of asymptotic invariants of lattices. In this talk I will demonstrate several results (old and new) about lattices in semisimple Lie groups which are proved by considering them as IRS.