Seminar Event Detail

RTG Workshops/Lectures

Date:  Friday, April 25, 2014
Location:  B 844 (3:45 PM to 4:45 PM)

Title:  Super-strong approximation and the group sieve method

Abstract:   My lectures will focus on expanders and the super-strong approximation theorem: congruence quotients of thin subgroups of semisimple Lie groups are finite groups of Lie type exhibiting a uniform spectral gap. I will describe the ingredients in the proof, the Bourgain-Gamburd method, the classification of approximate subgroups, and a number of techniques from the theory of random matrix products. I will also describe some applications to sieving in a non-commutative context.


Speaker:  Emmanuel Breuillard
Institution:  Universite Paris Sud - Orsay

Event Organizer:   Spatzier   


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