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Department of Mathematics,
University of California San Diego

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Group Actions Seminar

Jacqueline Warren - Graduate student

UC San Diego

Effective equidistribution of horospherical flows in infinite volume

Abstract:

By Ratner's famous equidistribution theorem, we know that unipotent orbits in finite volume quotients of Lie groups equidistribute in their closures. Often, in applications, one needs to know more: specifically, at what rate does the orbit equidistribute? We call a statement that includes a quantitative error term effective. In this talk, I will present an effective equidistribution theorem, with polynomial rate, for horospherical orbits in the frame bundle of certain infinite volume hyperbolic manifolds. This is joint work with Nattalie Tamam.

October 27, 2020

10:00 AM

https://ucsd.zoom.us/s/96741093409 (email Nattalie Tamam or Brandon Seward for the password)

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