Expansion and random walks in SL_n

30 January 2013
Henry Bradford -- Queen's Lecture C
<p>I will look at some tools for proving expansion in the Cayley graphs of finite quotients of a given infinite group, with particular emphasis on Bourgain-Gamburd’s work on expansion in Zariski-dense subgroups of SL_2(Z), and speculate to what extent such expansion may be said to be “uniform”.</p>