Effective equidistribution of horospherical flows in infinite volume

Abstract: We want to provide effective information about averages of orbits of the horospherical subgroup acting on a hyperbolic manifold of infinite volume. We start by presenting the setting and results for manifolds with finite volume. Then, discuss the difficulties that arise when studying the infinite volume setting, and the measures that play a crucial role in it. This is joint work with Jacqueline Warren.

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar