##### Department of Mathematics,

University of California San Diego

****************************

### Special Colloquium

## Amir Mohammadi

#### University of Texas, Austin/IAS

## Geodesic planes in hyperbolic 3-manifolds

##### Abstract:

In this talk we discuss the possible closures of geodesic planes in a hyperbolic 3-manifold M. When M has finite volume Shah and Ratner (independently) showed that a very strong rigidity phenomenon holds, and in particular such closures are always properly immersed submanifolds of M with finite area. Manifolds with infinite volume, however, are far less understood and are the main subject of this talk. This is based on a joint ongoing work with C. McMullen and H. Oh.

Host: Alireza Salehi Golsefidy

### April 5, 2016

### 3:00 PM

### AP&M 6402

****************************