**SMS scnews item created by James East at Fri 18 Sep 2009 1520**

Type: Seminar

Distribution: World

Expiry: 25 Sep 2009

**Calendar1: 25 Sep 2009 1205-1255**

**CalLoc1: Carslaw 375**

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Knot homology and geometric representation theory

### Geordie Williamson

#### Friday September 25, 12:05--12:55pm, Carslaw 375

###### Abstract

I will start by describing Khovanov's idea of "knot homology". The goal is to find bi- and tri-graded vector spaces whose graded Euler characteristics are classical polynomial knot invariants (like the Jones or HOMFLYPT polynomial). I will then explain how HOMFLYPT homology can be given a transparent construction using techniques from geometric representation theory. This provides at least one reason for people who work with braid groups, Hecke algebras and groups of Lie type to be interested in knot homology.

---------------------------------------------------------------------------------------

After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East jamese@maths.usyd.edu.au