Speaker
Manfred Einsiedler, ETH Zurich
Abstract
We will discuss measure rigidity results for diagonalisable actions on locally homogeneous spaces. The focus will be on the transport of entropy argument relying on large scale self-similarity of leafwise measures, quantitative recurrence, and Diophantine estimates. In ongoing joint work with Elon Lindenstrauss, Andreas Wieser, Zvi Shem-Tov this argument is used to deal with the case of sufficiently generic rank two diagonalisable subgroups in quotients of split groups.