Members’ Seminar

A key challenge in homogeneous dynamics is understanding the action of higher rank diagonal groups on homogenous spaces. While actions of rank one diagonal groups have a lot of flexibility, a phenomena used already by Artin to engineer orbits of desired behavior, higher rank diagonal group actions have much greater rigidity. I will discuss a new approach to the problem, and time permitting also an application to Diophantine approximation.

Joint work with M. Einsiedler.