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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.