About Workshop

Workshop participant feedback

“Really fantastic – the speakers are leaders in the field, and the content of the talks were super interesting. Tomasz made excellent choices in this regard.” 

“It had a very high value. The organizer brought together a very good group of researchers. The environment was very friendly and stimulating.”

“Extremely high value – many of these researchers hadn’t been properly connected, and this part of the field is extremely fast-moving and active at the moment.”

The origin of quantum representation theory dates back to Drinfeld and Jimbo’s discovery of quantum groups in 1985. From the outset, the mathematical theory was inextricably linked with various aspects of mathematical physics, including, prominently, the inverse scattering method and quantum integrability. In the 1990s, quantum representation theory was revolutionized by the introduction of powerful geometric methods, pioneered by Nakajima. At the same time, an interplay of algebraic and geometric approaches gave rise to the influential theory of q,t-characters of quantum affine algebras. Since 2000, the field has branched off in multiple directions, with seemingly endless applications.

The aim of the workshop was to bring together the world’s leading experts to discuss new developments in quantum representation theory, with focus on the following thematic areas:
(1) quantum symmetric pairs,
(2) quantum affine and toroidal algebras,
(3) categorification and geometric approaches.