Thursday, October 29, 2015
3:00 pm

Logic Seminar

Local spectral gap in simple Lie groups
Adrian Ioana, Professor, Mathematics, UCSD

I will explain a "local" spectral gap theorem for translation actions of dense subgroups generated by algebraic matrices on arbitrary simple Lie groups. This extends to the non-compact setting works of Bourgain-Gamburd and Benoist-de Saxce. I will also present several applications to the Banach-Ruziewicz problem, strong ergodicity of actions on homogenous spaces, orbit equivalence rigidity, and spectra of averaging operators on compact groups. This is joint work with Remi Boutonnet and Alireza Salehi-Golsefidy.

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