Séminaires : Séminaire d'Algèbre

In recent joint work with Bernard Leclerc, we introduce a family of infinite-dimensional affine schemes called schemes of (G,c)-bands. Here, G denotes a simple, simply laced, and simply connected algebraic group, and c is a Coxeter element of its Weyl group. These schemes offer a common geometric framework for understanding certain cluster algebras which play a central role in the representation theory of (untwisted) quantum affine algebras, their Borel subalgebras, and shifted quantum affine algebras. The goal of this talk is to introduce these schemes and explore their connections with cluster algebras and representation theory.

This talk will take place in hybrid mode at the Institut Henri Poincaré.