Seminars & Colloquia Calendar
Effective equidistribution of horospherical flows in infinite volume
Nattalie Tamam (UCSD)
Location: Via Zoom: https://rutgers.zoom.us/j/95245984714?pwd=cXJXTldjUGpxdUk5WW9GMVhaREZ6UT09
Date & time: Tuesday, 03 November 2020 at 2:00PM - 3:00PM
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.