Effective equidistribution of horospherical flows in infinite volume

Abstract: Horospherical flows in homogeneous spaces have been studied intensively over the last several decades and have many surprising applications in various fields. Many basic results are under the assumption that the volume of the space is finite, which is crucial as many basic ergodic theorems fail in the setting of an infinite measure space. In the talk we will discuss the infinite volume setting, and specifically, when can we expect horospherical orbits to equidistribute. Our goal will be to provide an effective equidistribution result, with polynomial rate, for horospherical orbits in the frame bundle of certain infinite volume hyperbolic manifolds. This is a joint work with Jacqueline Warren.

number theory

Audience: researchers in the topic

Rutgers Number Theory Seminar

Series comments: Seminar talks in this series will be conducted via Zoom. To join our mailing list and/or receive Zoom links and meeting passwords, please email Alexander Walker (alexander.walker@rutgers.edu).