Title: The KZ-Casimir system and braided Coxeter categories
Speaker: Andrea Appel (University of Edinburgh)
Abstract: It is well-known that the monodromy data of the KZ equations of a semisimple Lie algebra are encoded by a non-trivial braided tensor structure on the category of its deformation modules. In this talk, I will introduce the equivariant Casimir connection of a symmetrizable Kac-Moody algebra and I will then show that the monodromy data of the associated KZ-Casimir joint system are described by the axiomatic of braided Coxeter categories, which are, informally, braided tensor categories carrying an action of a given generalized braid group on their objects. This is based on joint works with V. Toledano Laredo.
Seminar URL: https://research.math.osu.edu/reps/
