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.

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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


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