Knot homology and geometric representation theory
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 Geordie Williamson, Oxford
 Wednesday 18 November 2009, 16:0017:00
 MR 13.
If you have a question about this talk, please contact Jake Rasmussen.
I will start by describing Khovanov’s idea of “knot homology”. The goal
is to find bi and trigraded 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 creates a bridge between link homology and
techniques which have been developed for studying the characters of
finite groups of Lie type.
This talk is part of the Differential Geometry and Topology Seminar series.
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