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### Torus knots and Cherednik algebras

**Algebra & Discrete Mathematics**

Speaker: | Eugene Gorsky, UCD |

Related Webpage: | https://www.math.ucdavis.edu/~egorskiy/ |

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.