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!):
Spring 2023:
1/12/2023 David Rose, University of North Carolina, Chapel Hill:
A Kirby color for Khovanov homology
In the context of quantum link invariants, a Kirby color is a linear combination of cabling patterns with the property that the resulting colored link polynomial is invariant under the second (handle slide) Kirby move. In familiar cases (e.g. WittenReshetikhinTuraev), these invariants admit a renormalization that is invariant under the first (blowup) Kirby move and thus yield invariants of closed, orientable 3manifolds.
We will discuss a Kirby color for Khovanov homology, an indobject in the annular BarNatan category (the monoidal category associated to the annulus in the Khovanov theory), which is equipped with a natural handle slide isomorphism. Functoriality properties of Khovanov homology imply that Kirbycolored Khovanov homology is invariant under the handle slide Kirby move. Using work of ManolescuNeithalath, Kirbycolored Khovanov homology agrees with the MorrisonWalkerWedrich skein lasagna invariant, thus is an invariant of the 4manifold resulting from 2handle additions along the corresponding link in the 3sphere.
1/26/2023 Moritz Weber, Saarland University: Classification of easy quantum groups
Easy quantum groups form a class of compact quantum groups (in the sense of Woronowicz) whose representation categories can be described combinatorially by partitions of sets, similar to TemperleyLieb algebras, Brauer diagrams, planar partitions or related objects. We will briefly introduce easy quantum groups and then survey its classification. We will also mention graph categories as defined by MancinskaRoberson in order to describe the representation categories of quantum automorphism groups of graphs.
2/23/2023 Dylan Thurston, Indiana University, Bloomington: TBA
3/9/2023 Amrei Oswald, University of Washington: TBA
5/4/2023 Qing Zhang, Purdue University: TBA