Random Walks on Lie Groups and Diophantine Approximation:

Add to your list(s) Download to your calendar using vCal

• Constantin Kogler, University of Cambridge
• Friday 06 May 2022, 16:00-17:00
• MR13.

If you have a question about this talk, please contact aj616.

After a general introduction to the study of random walks on groups, we discuss the relationship between limit theorems for random walks on Lie groups and Diophantine properties of the underlying distribution. Indeed, we will discuss the classical abelian case and more recent results by Bourgain-Gamburd for compact Lie groups such as SO(3). If time permits, 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 methods from additive combinatorics and harmonic analysis. The talk is aimed at a general audience.

This talk is part of the Junior Geometry Seminar series.

This talk is included in these lists:

• All CMS events
• CMS Events
• DPMMS info aggregator
• Hanchen DaDaDash
• Interested Talks
• Junior Geometry Seminar
• MR13
• bld31

Note that ex-directory lists are not shown.