Parabolic Reduction and Quantum Character Varieties

Abstract: Character varieties parametrise G-local systems on topological spaces, for G a reductive group. They play a central role in physical models such as Chern-Simons theory and have been widely studied. Many constructions involving character varieties can be formulated with a combination of skein theory and parabolic reduction along a Borel subgroup of G.

We'll tell this story, with the guiding goal of defining quantum cluster coordinates on quantised character varieties. This is based on joint work with David Jordan.

category theoryquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.