Joint IAS/PU Groups and Dynamics Seminar

I will explain why a random walk on a simple homogeneous space equidistributes toward the Haar measure with an explicit rate, provided that the walk is not trapped in a finite invariant set and that the distribution driving the walk is Zariski-dense and has algebraic coefficients. The argument relies on a multislicing theorem which extends Bourgain’s projection theorem and is of independent interest. Joint work with Weikun He.