Knot Homology and Braid Group Actions on Derived Categories of Coherent Sheaves
| CATEGORIES AND KNOT INVARIANTS | |
| Topic: | Knot Homology and Braid Group Actions on Derived Categories of Coherent Sheaves |
| Speaker: | Joel Kamnitzer |
| Affiliation: | University of California at Berkeley and AIM |
| Date: | Thursday, March 6 |
| Time/Room: | 10:30am - 12:00pm/S-101 |
Due to the pioneering work of Khovanov, there has been a lot of recent interest in certain knot homology theories. I will explain a program to construct these knot homology theories using braid group actions on derived categories of coherent sheaves. In particular, I will consider derived categories of coherent sheaves on certain moduli spaces of vector bundles on curves. I will explain connections with spherical twists, Mukai flops, and Chuang-Rouquier's sl_2 categorification.