Speaker: Gunter Malle

Title: On the Conjectures of Arad-Herzog and Szep

Abstract: Can a finite simple group be the product of two centralizers? Does a finite simple group have two non-trivial classes whose product is again a class? We report on some progress on the second question and show how this leads to a short solution of the first. We also discuss analogues for simple algebraic groups. This is joint work with R. Guralnick.