3:00 p.m., Wednesday (January 24, 2007)

WMAX 110

Joel Kamnitzer
UC Berkeley

A geometric representation theory approach to Khovanov's knot homology

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 enhanced the Jones polynomial to a homology theory. After explaining these theories, I will explain a construction (joint with Sabin Cautis) of Khovanov homology using derived categories of coherent sheaves on certain varieties arising in the geometric Langlands program.

Refreshments will be served at 2:45 p.m. (PIMS Lounge).

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