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Random Walks on Lie Groups and Diophantine Approximation:

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  • UserConstantin Kogler, University of Cambridge
  • ClockFriday 06 May 2022, 16:00-17:00
  • HouseMR13.

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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.

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