The City College of New YorkCCNY
Department of Mathematics
Division of Science

Colored tangle invariants and sl(2) categorification.

Mathematics Colloquium

Time and place

1 PM on Thursday, April 2nd, 2015; NAC 6/133

Joshua Sussan (Medgar Evers)

Abstract

The Reshetikhin-Turaev invariant of tangles comes from the representation theory of quantum groups. We will review this construction for the case of sl(2). Then we will introduce the notion of categorification and categorify the invariant using a category of Harish-Chandra bimodules. A specialization of this construction recovers Khovanov homology.

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