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Colored tangle invariants and quantum sl(2) categorification

Algebra & Discrete Mathematics

Speaker: Josh Sussan, UC Berkeley
Location: 1147 MSB
Start time: Fri, Apr 23 2010, 4:10PM

We review the categorification of tensor products of the natural representation for quantum (sl(2)) and its extension to a tangle invariant. A categorification of tensor products of arbitrary finite dimensional, irreducible representations was given by Frenkel, Khovanov, and Stroppel. We show how to use these results to get a categorification of the colored Jones polynomial. This is joint work with Igor Frenkel and Catharina Stroppel.

Please note the special time of the seminar this week.