Detail

Title of the talk: Trace of the categorified quantum groups, Columbia University in the City of New York, USA, November 11, 2014

Abstract: We show that the center and the trace of any 2-representation of the Khovanov-Lauda 2-category for any symmetrizable Lie algebra g admit an action of the current algebra U(g[t]). In particular, the 0th Hochschild (co)homology of the cyclotomic quotient is the (dual) Weyl module.