Bar Ilan University, Department of Mathematics,                                Colloquium Lecture

Date: 5 april '09, Department Room,  at 12:00 pm

Speaker: Prof. A. Kleshchev (University of Oregon),

Title: Some trends in representation theory of symmetric groups

Abstract: we explain how to grade the blocks of the group algebra of symmetric groups and related Hecke algebras. This opens up a prospect for studying graded representation theory of these objects and connects them to the recently defined Khovanov-Lauda-Rouquier algebras. Some of the applications are graded analogues of Ariki's categorification theorem and a conjecture of Lascoux-Leclerc-Thibon.