A Braided Monoidal 2-Category via Soergel Bimodules

Explore a 53-minute lecture on the construction of braided monoidal 2-categories using Soergel bimodules, presented by Catharina Stroppel from Rheinische Friedrich-Wilhelms-Universität Bonn at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Delve into the connection between quantum group representations, categorification, and braided monoidal structures. Examine how Hecke algebras for symmetric groups form a braided monoidal category controlling quantum link invariants of type A. Investigate the challenges of categorification and discover potential solutions utilizing Soergel bimodule categories. Gain insights from joint work with Aaron-Maazel Gee, Leon Liu, David Reutter, and Paul Wedrich in this advanced mathematical exploration recorded on January 12, 2024.

Catharina Stroppel - A braided monoidal 2-category via Soergel bimodules - IPAM at UCLA