University Quantum Symmetries Lectures
( UQSL )
Subfactors and operator algebras
Hopf algebras and quantum groups
TQFT and low dimensional topology
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 firstname.lastname@example.org 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!):
9/8/2022- Robert Laugwitz, University of Nottingham:
Relative Drinfeld centers and non-semisimple modular tensor categories
A finite-tensor 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 non-semisimple 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 “fiber-wise” – 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 half-quantum flag variety, a non-commutative space G/B_q. Motivation for constructing such a formalism comes from multiple directions: modular representation theory, tensor-triangular 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
12/1/2022- Hongdi Huang, Rice University