Title: From the Jones polynomial to Khovanov-Rozansky homology via skew Howe duality
2014.06.17 |
Date | Wed 30 Jul |
Time | 15:15 — 16:15 |
Location | 1531-215 (Aud. D3) |
Abstract:
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.