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Topics in Combinatorial Representation Theory

March 17, 2008 to March 21, 2008
Organized By: Sergey Fomin, Bernard Leclerc, Vic Reiner (Chair), Monica Vazirani
 
Parent Programs:
Combinatorial Representation Theory
 
Return to Workshop Description
 

(UC Berkeley Math Colloquium, 60 Evans) Knot homology, geometric representation theory, and derived categories

Thursday March 20, 2008

04:10PM - 05:00PM

Speakers:
Joel Kamnitzer

Abstract:

In recent years, knot homology theories invented by Khovanov (and others) have attracted a great deal of attention within the field of low-dimensional topology. In my talk, I will explain a construction of these knot homology theories using the framework of geometric representation theory. More specifically, we will consider derived categories of coherent sheaves on subvarieties of affine Grassmannians in an attempt to give a uniform and natural construction of these theories.
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