Zoltán Halasi

Babai's conjecture for classical groups with generating sets containing a transvection

A well-known conjecture of Babai states that if G is any finite simple group and X is a generating set of G, then the diameter of the Cayley graph Cay(G,X) is bounded by a polylogarithmic function of |G|. The goal of the talk is to sketch a proof of such a bound in case of X contains a transvection.