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SUMMARY:Khovanov-Rozansky homology and q\,t Catalan numbers - Matthew Hoga
 ncamp (University of Southern California)
DTSTART:20170411T103000Z
DTEND:20170411T113000Z
UID:TALK71897@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will discuss a recent proof of the Gorsky-Oblomkov-Rasmussen
 -Shende conjecture for (n\,nm+1) torus knots\, which generally expresses t
 he Khovanov-Rozansky homology of torus knots in terms of representations o
 f rational DAHA.&nbsp\; The proof is based off of a computational techniqu
 e introduced by myself and Ben Elias\, using complexes of Soergel bimodule
 s which categorify certain Young symmetrizers.&nbsp\; We will summarize th
 is technique and indicate how it results in a remarkably simple recursion 
 which computes the knot homologies in question.
LOCATION:Seminar Room 1\, Newton Institute
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