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SUMMARY:Knot homology and geometric representation theory - Geordie Willia
 mson\, Oxford
DTSTART:20091118T160000Z
DTEND:20091118T170000Z
UID:TALK20646@talks.cam.ac.uk
CONTACT:Jake Rasmussen
DESCRIPTION:I will start by describing Khovanov's idea of "knot homology".
  The goal\nis to find bi- and tri-graded vector spaces whose graded Euler\
 ncharacteristics are classical polynomial knot invariants (like the Jones\
 nor HOMFLYPT polynomial). I will then explain how HOMFLYPT homology can\nb
 e given a transparent construction using techniques from geometric\nrepres
 entation theory. This creates a bridge between link homology and\ntechniqu
 es which have been developed for studying the characters of\nfinite groups
  of Lie type.
LOCATION:MR 13
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