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### Flag varieties, Gukov-Witten defect and HOMFLY-PT link homology I

**Algebra & Discrete Mathematics**

Speaker: | Lev Rozansky, UNC Chapel Hill |

Related Webpage: | http://math.unc.edu/people/faculty/lev-rozansky |

Location: | 3106 MSB |

Start time: | Thu, Oct 20 2016, 11:00AM |

This is a joint work with A. Oblomkov. Following the ideas of Khovanov-Thomas and Riche-Bezrukavnikov, we construct a homomorphism from the braid group to a monoidal category of matrix factorizations over the product of flag varieties. An application of the trace functor to a matrix factorization yields homology, which categorifies the HOMFLY-PT polynomial of the closure of the braid.