Schedule (2025-2026)
Talks are normally held on Thursdays in the late afternoon, and can usually be attended virtually via Zoom (including those talks held in-person at the University of Saskatchewan) using the following information:
| Meeting ID | Passcode | Link |
|---|---|---|
| 993 2067 2006 | qUSaskGAP | Here |
The seminar is intended to be informal and to have a component accessible to graduate and advanced undergraduate students studying algebra, geometry, or mathematical physics. To support this goal, the seminar is held in an hour and fifteen minute time slot. More information concerning each specific talk in the series is given below.
Date/Location |
Speaker |
Title and Abstract |
|---|---|---|
|
Thursday, March 12th 5-6:15PM CST PHYSIC 130
|
The Ohio State University |
Affine Yangians and quantum toroidal algebras in type A The main objects of my talk are the affine Yangian and the quantum toroidal algebra of type A with two deformation parameters, as introduced in the work of Bershtein and Tsymbaliuk (2019). These algebras first appeared in Maulik and Okounkov’s 2012 work, where they were realized in a purely geometric form through the equivariant cohomology of quiver varieties. In this talk, I construct an explicit functor from an appropriate category of representations of the affine Yangian associated with \(\mathfrak{sl}(mn)\) to that of the quantum toroidal algebra associated with \(\mathfrak{sl}(m)\) for all positive integers m and n, which extends the construction of Gautam and Toledano Laredo (2016). |
|
Thursday, March 26th 5-6:15PM CST PHYSIC 130 |
University of Hamburg |
Inverting Hamiltonian Reduction - A Rep Theory Perspective Quantum Hamiltonian reduction is an algebraic procedure that produces new vertex algebras from known ones, with the best understood examples being the W-algebras that arise from affine vertex algebras. Recent work has focused on morally inverting this construction, which has important implications for representation theory. Moreover, since affine vertex algebras are intimately tied to their underlying Lie algebras, this inverse construction also provides new tools for constructing and studying weight modules over both finite and affine Lie algebras, which are of broader interest in algebra and mathematical physics. In this talk, I'll give an introduction to the ideas involved and illustrate the construction by showing how it naturally produces simple weight modules with infinite-dimensional weight spaces everywhere. |
|
Friday, March 27th 1:30-2:20PM CST (In-person only) ARTS 212
|
York University |
The Galilean conformal algebras The infinite dimensional Galilean conformal algebra is an infinite dimensional extension of the finite dimensional Galilean conformal algebra in \((d+1)\)-dimensional space-time, which was introduced by Bagchi and Gopakumar in order to construct a systematic non-relativistic limit of the AdS/CFT conjecture. We will study some representions in the case of \((2+1)\)-dimensional space-time. |
