College of Liberal Arts & Sciences

# Mathematics Colloquium - Joshua Sussan

Speaker:

Joshua Sussan, CUNY

Topic:

" 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

Location:

213 MLH

Host:

Ben Cooper

Calendar Category:

Colloquium