Bar Ilan University,
Department of Mathematics,

                               Colloquium Lecture

<p>

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

<p>

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

<p>

Title: Some trends in representation theory of symmetric groups

<p>

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.