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Seminar by David Rose (University of Southern California)

Title: From the Jones polynomial to Khovanov-Rozansky homology via skew Howe duality

2014.06.17 | Jane Jamshidi

Date Wed 30 Jul
Time 15:15 16:15
Location 1531-215 (Aud. D3)


We'll show how the Kauffman bracket formulation of the Jones polynomial can be derived from the representation theory of quantum

sl_2 via skew Howe duality. Time permitting, we'll also discuss the extension to sl_n knot invariants, and how this picture categorifies to give an elementary description of Khovanov-Rozansky knot homology in terms of certain singular surfaces called foams.