Dynamics Lunch: Matan Tal " Construction of a random walk on a lattice that is asymptotically appropriate for the ambient group (SLn(R))."

The talk will be based on work done by Furstenberg, taken mainly from his paper "Randon Walks and Discrete Subgroups of Lie Groups". We will present the idea of a boundary attached to a random walk on a group, and explain intuitively how it can be applied to prove that SL2(R) and SLn(R) - for n greater than 2 - do not have isomorphic lattices. Then we focus on a key step in that proof: Constructing a random walk on a lattice in SLn(R) that has the same boundary as a "spherical" random walk on SLn(R) itself.

Date: 

Tue, 18/06/2019 - 12:00 to 13:00