|CATEGORIES AND KNOT INVARIANTS|
|Topic:||Knot Homology and Braid Group Actions on Derived Categories of Coherent Sheaves|
|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.