Speaker: Andrei Negut (EPFL)

In person or on Zoom: https://mit.zoom.us/j/92441268505

Title: q-characters for quantum loop algebras

Abstract: The representation theory of quantum affine algebras has been the subject of intense study for almost 30 years, an important aspect of which are the q-characters introduced by Frenkel-Reshetikhin. I will survey recent developments that generalize this framework (specifically that of the Hernandez-Jimbo category O) to quantum loop groups associated to any Kac-Moody Lie algebra, and introduce new shuffle algebra tools for the computation of q-characters.