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Khovanov homology via geometric representation theory
Colloquium| Speaker: | Joel Kamnitzer, UC Berkeley |
| Location: | 1147 MSB |
| Start time: | Tue, Oct 2 2007, 4:10PM |
The Jones polynomial is a powerful polynomial knot invariant which was discovered in the early 1980s. In the late 1980s, Reshetikhin-Turaev showed that the Jones polynomial fits into a family of knot invariants coming from representation theory. Recently, Khovanov (and Rozansky) enhanced the Jones polynomial and other RT invariants to knot homology theories. After explaining these theories, I will explain a construction (joint with Sabin Cautis) of Khovanov homology using geometric representation theory and specifically the geometric Satake correspondence.