Mathematics Colloquium - Joshua Sussan

Joshua Sussan, CUNY
" Towards categorification of 3-manifold invariants"

Abstract: The Jones polynomial of a link could be defined through the representation theory of quantum sl(2).  Soon after this link invariant was discovered, the Witten-Reshetikhin-Turaev 3-manifold invariant was constructed using the representation theory of quantum sl(2) at a root of unity.
     The categorification program has successfully enhanced the Jones polynomial to a homological link invariant.  We will explain some ideas of Khovanov which outline a procedure for categorifying the 3-manifold invariant and some progress in this direction.

Event Date: 
April 27, 2017 - 3:30pm to 4:30pm
213 MLH
Ben Cooper
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