Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM


 
Non-abelian arithmetic combinatorics and diophantine approximation

 

Emmanuel Breuillard

Universite Paris-Sud 11.
 

MIT

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.





Home Web page:  Alexandru I. Suciu   Comments to:  i.loseu@neu.edu  
Posted: May 10, 2016    URL: http://www.math.neu.edu/bhmn/breuillard16.html