##### 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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