School Seminars and Colloquia

Introduction to Whittaker modules (Part 2 of 3)

Geometry/Topology Seminar

by Alexander Kleshchev

Institution: University of Oregon
Date: Tue 22nd July 2008
Time: 10:00 AM
Location: Room 107, Richard Berry Bldg, The University of Melbourne

Abstract: Kleshchev (Parts 1,2,3): We will try to motivate the study of finite
W-algebras as a natural part of Lie theory connected to many other
classical objects, such as Whittaker modules, primitive ideals, canonical
bases, polynomial representations of GL(n). We will explain how the
category of finite dimensional modules over a W-algebra of type A
categorifies polynomial representations of GL(n) and sketch a higher level
Schur-Weyl duality between finite W-algebras and (degenerate) cyclotomic
Hecke algebras. W-algebras are generalizations of the Virasoro algebra and
are useful in conformal field theory.

For More Information: Stephen Tillmann