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Colored tangle invariants and quantum sl(2) categorificationAlgebra & 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.