Date/Time
7 June 2026 - 12 June 2026
Organized by
Andrei Negut (EPFL), Joshua Wen (University of Vienna)
Event page & registration
https://indico.global/event/9666/
Description
Shuffle algebras have long provided important tools in the study of quantum groups. We plan to cover an exciting development of this construction, in which Feigin-Odesskii type shuffle algebras are used to study quantum loop groups, which has already had numerous applications to the theory of integrable systems, geometric representation theory, Macdonald polynomial theory, algebraic combinatorics and especially mathematical physics. However, many aspects of the general theory are still unsolved, such as how to use shuffle algebras in order to give a complete definition of quantum loop groups for arbitrary Kac-Moody types, how to construct PBW bases in these algebras, calculate their R-matrices and classify their representations. By combining lecture series and advanced talks aimed at graduate students and postdocs, we aim to stimulate the next stage in the development of this promising theory.
Location
SwissMAP Research Station, Les Diablerets, Switzerland
