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Knot homology and geometric representation theory

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  • UserGeordie Williamson, Oxford
  • ClockWednesday 18 November 2009, 16:00-17:00
  • HouseMR 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 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 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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