SPEAKER: Victor Ostrik

TITLE: Weakly group theoretical fusion categories

ABSTRACT This is a joint work with P.Etingof and D.Nikshych. Weakly group theoretical fusion categories form a large class of integral fusion categories which contains all known examples. The categories from this class in principle can be classified. Our main result is that categories of dimension p^aq^b (where p,q are primes, and a,b are integers) are weakly group theoretical.