Talks in mathematical physics Seminar

Résumé

Certain Grothendieck rings of categories of finite dimensional representations admit remarkable non-commutative t-deformations, which are linked to quiver varieties. These deformations are very useful to compute characters, via Kazhdan–Lusztig type decompositions. In this talk, I will present a natural t-deformation of the Grothendieck ring of a category O of representations of quantum affine algebras. Our approach is based on quantum cluster algebras.