##### Department of Mathematics,

University of California San Diego

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

### Math 296 - Graduate Student Colloquium

## Alireza Salehi Golsefidy

#### UCSD

## Finitely generated linear groups and their applications in number theory, combinatorics, topology, etc.

##### Abstract:

I will explain part of my journey in this beautiful subject: * Super-strong approximation and its applications to other areas of math. * Counting lattices. * Ratner's theorems and its applications to number theory. In each one of these topics, some open problems will be mentioned. (Disclaimer: Most likely one of these topics will be discussed only briefly because of time restriction.)

### January 22, 2015

### 11:00 AM

### AP&M 6402

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