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# Lev Rozansky (UNC-CH), Physically Inspired Mathematics Seminar

## April 21, 2017 @ 5:20 pm - 6:20 pm

**Title:** Flag varieties, Hilbert schemes on C^2 and link homology II

**Abstract:** This is a joint work with A. Oblomkov. I will explain (1) how our construction of the categorical (affine and ordinary) braid group action is related to permutations of eigenvalues of an upper-triangular matrix; (2) how this categorical action appears in the framework of geometric Langlands duality; (3) how it is related to quantum field theory and, very likely, to brane braiding within the string theory.