Non-abelian arithmetic combinatorics and diophantine approximation


Emmanuel Breuillard

Universite Paris-Sud 11.


Thursday, May 19, 2016


Talk at 4:30 p.m. in 2-190

Tea at 4:00 p.m in 2-290


Abstract: In the last ten years additive combinatorics has spread to group theory yielding a series of structure theorems for approximate subgroups, i.e. subsets that do not grow much under multiplication. Combined with diophantine considerations this has shed new light on the structure of dense subgroups of Lie groups and has had applications to spectral gap bounds, fast mixing of random walks, uniform exponential growth, Bernoulli convolutions and more. I will survey these developments.

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Posted: May 10, 2016    URL: