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 … Read more
Lecture 2 Title: Categorifications of quantum link invariants Abstract: The Jones polynomial has many generalizations, including the two-variable HOMFLYPT polynomial. We will review approaches to the categorification of the HOMFLYPT polynomial and its specializations. Several new ideas proved crucial, … Read more
Lecture 3 Title: Categorification of quantum groups at generic q and at a root of unity Abstract: Quantum link invariants naturally emerge from actions of quantum groups on tensor powers of their irreducible representations. Categorifications of quantum groups and … Read more
