Langlands duality and spectra of quantum integrable systems

Project Start Year
2020
Project Area of Research
Project Description

The category of finite-dimensional representations of a quantum affine algebra is one of the most studied objects in quantum groups theory with remarkable applications in various branches of Mathematics and Physics. However many important and fundamental questions remain unsolved in this field. The aim of this research project is to make advances in the understanding of the category as well as of its applications to  quantum integrable systems and in the context of the Langlands program.

UC PI
Edward Frenkel
Edward Frenkel
Department of Mathematics, UC Berkeley
France PI
David Hernandez
David Hernandez
UFR de Mathématiques/IMJ-PRG, Université de Paris