Speaker
Emmanuel Breuillard, University of Oxford
Abstract
I shall discuss a new non-abelian version of the Littlewood-Offord theorem regarding products of independent matrix valued random variables and their concentration on algebraic sets. Although our bounds hold for matrices over the complex numbers, their proof requires an adelic input and the consideration of diophantine heights (height gap). In turn this yields uniform spectral gaps for a wide variety of algebraic actions of linear groups. Joint work with Oren Becker.
Emmanuel Breuillard, University of Oxford
Abstract
I shall discuss a new non-abelian version of the Littlewood-Offord theorem regarding products of independent matrix valued random variables and their concentration on algebraic sets. Although our bounds hold for matrices over the complex numbers, their proof requires an adelic input and the consideration of diophantine heights (height gap). In turn this yields uniform spectral gaps for a wide variety of algebraic actions of linear groups. Joint work with Oren Becker.