Colored tangle invariants and quantum sl(2) categorificationAlgebra & Discrete Mathematics
|Speaker:||Josh Sussan, UC Berkeley|
|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.