### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

OCTOBER 28, 2016

**Speaker: **
Max Wakefield, U. S. Naval Academy

**Title: ***
The Kazhdan-Lusztig polynomial of a matroid
*

**Abstract:**
The classical Kazhdan-Lusztig polynomials provide a rich theory to study many different related objects including Schubert varieties, Bruhat orders on Coxeter groups, and Hecke algebras. In this talk we will define a matroid analogue of these classical polynomials which is essentially defined via the characteristic polynomial. There are striking similarities of this polynomial to the classical case algebraically, geometrically, and combinatorially. We will survey some of the recent results and advertise some open problems.

**Time:** Friday, October 28, 2016, 3:30-4:20 p.m.

**Place:** Exploratory Hall, room 4106

**Refreshments** will be served at 3:00 p.m.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491