### Expansion properties of linear groups

Salehi Golsefidy, A *(University of California, San Diego)*

Monday 30 June 2014, 13:30-14:20

Seminar Room 1, Newton Institute

#### Abstract

Starting with finitely many matrices S in GL(n,Q), we will discuss when the Cayley graphs of congruence quotients of the group generated by S modulo a sequence of integers can form a family of expanders. Then we will focus on the case of powers of primes and show that such a property is dictated by the Zariski-topology.

#### Video

**The video for this talk should appear here if JavaScript is enabled.**

If it doesn't, something may have gone wrong with our embedded player.

We'll get it fixed as soon as possible.

## Comments

Start the discussion!