# Mikhail Khovanov (Columbia University), Brauer Lectures

## March 29 @ 3:30 pm - 4:30 pm

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Overall title of the Brauer Lecture Series 2017: Link homology and categorification

**Lecture 1 Title:** The Jones polynomial of links and tangles and its categorification.

**Abstract:** The Jones polynomial is a celebrated invariant of links with roots in the representation theory of quantum groups and the Chern-Simons theory. It’s a one-variable Laurent polynomial, and we will describe its lifting to a bigheaded link homology theory. Functoriality of the theory will be explained, together with several applications in low-dimensional topology.