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

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

Date: 
Tue, 18/06/201912:00-13:00
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.