“Lecture Quantum invariants of links”

Quantum invariants are more than just topological invariants needed to tell objects apart. They build bridges between topology, algebra, number theory and quantum physics helping to transfer ideas, and stimulating mutual development. They also have a deep and interesting connection to representation theory, in particular, to representations of quantum groups. In this course we will introduce these objects from different perspectives: skein and representation theoretic. We will start with the Jones polynomial, study its properties, and then move to the categorification of this polynomial discovered by Khovanov. In the second part (i.e. this lecture) of the class we will explain its connections to representation theory following the ideas of e.g. Reshetikhin-Turaev, and then explain how the categorification also arises from very natural constructions in categorical representation theory.

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Daniel Tubbenhauer email

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