##### Department of Mathematics,

University of California San Diego

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

### Math 258 - Differential Geometry

## Amir Mohammadi

#### UCSD

## Geodesic planes in hyperbolic 3-manifolds

##### Abstract:

We will 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 strong rigidity phenomenon holds, and in particular such closures are always properly immersed submanifolds of M with finite area. We show that a similar rigidity phenomenon holds for a class of infinite volume manifolds. This is based on joint works with C. McMullen and H. Oh.

Host: Lei Ni

### April 10, 2019

### 2:00 PM

### AP&M 5829

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