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Torus knots and Cherednik algebras

Special Events

Speaker: Evgeny Gorskiy , Columbia University
Location: 1147 MSB
Start time: Tue, Mar 18 2014, 4:10PM

Double affine Hecke algebras were introduced by Cherednik in his proof of Macdonald conjectures. In recent years, several interesting connections between the representation theory of Cherednik algebras and knot invariants have emerged. In particular, all polynomial invariants of torus knots can be computed as characters of certain representations of rational Cherednik algebras. In my talk, I will explain this correspondence and show how it can be used to prove new results both in low-dimensional topology and in representation theory.

Reception to follow in the Alder Room.