Towards q-characters for quantum symmetric pairs
Organizers
Speaker
Time
Friday, November 28, 2025 1:00 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
q-characters appeared in work by E. Frenkel and N. Reshetikhin in 1999 as a tool to study the category of finite-dimensional modules of affine quantum group $U_q(\hat{\mathfrak{g}})$. One way to define them is via a partial trace of the universal R-matrix.
Quantum symmetric pairs consist of a quantum group and a suitable coideal subalgebra (the latter also known as i-quantum group). To such a pair one can canonically associate a universal K-matrix. With it one can play similar games as one can with the universal R-matrix.
We will discuss some recent developments, possible applications and remaining obstacles. Based on joint work with Andrea Appel (University of Parma).
Quantum symmetric pairs consist of a quantum group and a suitable coideal subalgebra (the latter also known as i-quantum group). To such a pair one can canonically associate a universal K-matrix. With it one can play similar games as one can with the universal R-matrix.
We will discuss some recent developments, possible applications and remaining obstacles. Based on joint work with Andrea Appel (University of Parma).
Speaker Intro
Dr. Bart Vlaar has joined BIMSA in September 2022 as an Associate Professor. His research interests are in algebra and representation theory and applications in mathematical physics. He obtained a PhD in Mathematics from the University of Glasgow. Previously, he has held positions in Amsterdam, Nottingham, York and Heriot-Watt University. Before coming to BIMSA he visited the Max Planck Institute of Mathematics in Bonn.