Séminaires : Combinatoire, Optimisation, et Interactions

The purpose of this seminar is to foster exchanges within the CO team of IMJ-PRG, and also with the surrounding scientific community. As such, its range of topics should be quite broad. We initially plan one or two sessions per month.

Ce séminaire a pour but de développer les échanges au sein de l'équipe Combinatoire et Optimisation, et avec la communauté scientifique environnante. Ses thèmes seront donc larges. Nous prévoyons un rythme initial de une à deux séances par mois.

We discuss applications of cluster structures in the representation theory of quantum groups. Such combinatorial structures capture some of the essence of tensor categories of representations. For instance, cluster structures allow to establish useful isomorphisms of Grothendieck rings between quantum affine algebras which are Langlands dual.