University Quantum Symmetries Lectures
( UQSL )
This is an online seminar organized by Corey Jones, David Penneys, and Julia Plavnik. Topics of interest range widely over "quantum" mathematics, and include (but are certainly not limited to):

Tensor categories

Subfactors and operator algebras

Hopf algebras and quantum groups

Representation theory

Higher Categories

TQFT and low dimensional topology

Categorification

Topological phases of matter

Conformal field theory

Algebraic quantum field theory
We typically meet Thursdays every other week from 2:00 pm  3:00 pm, US Eastern Time Zone. If you would like to attend, please email Corey Jones at cormjones88@gmail.com to be added to the Google Group for announcements of abstracts and Zoom links.
Here's a link to our schedule from previous semesters.
Below is a list of currently scheduled talks for this semester (which is updated frequently!):
Fall 2022:
9/8/2022 Robert Laugwitz, University of Nottingham:
Relative Drinfeld centers and nonsemisimple modular tensor categories
A finitetensor category is modular if it is a ribbon category with trivial Müger center. This definition relaxes the semisimplicity assumption compared to the usual definition of a modular fusion category. I will explain how relative Drinfeld centers can provide examples of such nonsemisimple modular tensor categories. These examples can be realized as modules over braided Drinfeld doubles. This talk is based on joint work with Chelsea Walton and Guillermo Sanmarco.
9/22/2022 Julia Pevstova, University of Washington:
Representations of a small quantum group via half quantum flag variety.
I will try to explain the categorical formalism which allows to study representations of a small quantum group “fiberwise” – by passing to a family of Borels parametrized by the (usual) complete flag variety. Nonetheless, to define such a family and to formally take fibers we make heavy use of the halfquantum flag variety, a noncommutative space G/B_q. Motivation for constructing such a formalism comes from multiple directions: modular representation theory, tensortriangular geometry, geometric representation theory, and TQFT. This is joint work with Cris Negron.
10/6/2022 Thibault Décoppet, University of Oxford: TBA
10/20/2022 Sarah Reznikoff, Kansas State University: TBA
11/3/2022 Maissam Barkeshli, University of Maryland: TBA
11/17/2022 TBA
12/1/2022 Hongdi Huang, Rice University