Speaker
Elon Lindenstrauss, Institute for Advanced Study
Abstract
We prove measure rigidity for positive-entropy actions of non-maximal higher-rank diagonalizable groups on homogeneous spaces, assuming that all coarse Lyapunov subgroups are one-dimensional.
As an application, we prove a new result regarding Diophantine approximation of Littlewood’s type for all n-tuples of real numbers outside of a set of Hausdorff dimension zero.
Joint with Einsiedler, Shem Tov and Wieser