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Expansion properties of linear groups

Presented by: 
A Salehi Golsefidy University of California, San Diego
Date: 
Monday 30th June 2014 - 13:30 to 14:20
Venue: 
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons