School Seminars and Colloquia

Introduction to the Kazhdan-Lusztig polynomials (maximal parabolic case) - part I - POSTPONED

Tuesday Seminar

by Keiichi Shigechi - POSTPONED


Institution: visitor to the Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 11th May 2010
Time: 1:00 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: The Kazhdan--Lusztig basis/polynomials play important roles in the representation theory, algebraic geometry and combinatorics. I will review and discuss the basic properties of the maximal parabolic Kazhdan--Lusztig (KL) basis/ polynomials (for the general linear group). The talk is based on the collaboration with P.Zinn-Justin, where the idea comes from statistical physics.
Connections to combinatorial works by Lascoux--Schutzenberger and also by Brenti will be given. If time allowed, Geometric interpretation by Zelevinsky and KL basis/polynomials for the Hecke algebra of type B will be mentioned. No previous knowledge will be assumed.

For More Information: contact: Mark Sorrell. email msorrell@unimelb.edu.au