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SUMMARY:Random Walks on Lie Groups and Diophantine Approximation: - Consta
 ntin Kogler\, University of Cambridge
DTSTART:20220506T150000Z
DTEND:20220506T160000Z
UID:TALK171449@talks.cam.ac.uk
CONTACT:104686
DESCRIPTION:After a general introduction to the study of random walks on g
 roups\, we discuss the relationship between limit theorems for random walk
 s on Lie groups and Diophantine properties of the underlying distribution.
  Indeed\, we will discuss the classical abelian case and more recent resul
 ts by Bourgain-Gamburd for compact Lie groups such as SO(3). If time permi
 ts\, we discuss some new results on limit theorems for random walks on non
 -compact Lie groups such as SL_2( R). We will touch on the relevant method
 s from additive combinatorics and harmonic analysis. The talk is aimed at 
 a general audience. 
LOCATION:MR13
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