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Torus knots and Cherednik algebras

Algebra & Discrete Mathematics

Speaker: Eugene Gorsky, UCD
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Location: 1147 MSB
Start time: Fri, Oct 2 2015, 2:10PM

I will describe the relation between the colored HOMFLY-PT invariants of torus knots and the characters of certain representations of rational Cherednik algebras. A conjectural lift of this relation to Khovanov-Rozansky homology will be also discussed. No knowledge of Cherednik algebras will be assumed, all necessary definitions will be given in the talk.