Séminaires à venir

Quantum affine algebras are a relevant example of quantum groups, obtained as deformation of the universal enveloping algebra of Kac-Moody algebras. Their representation theory is far more intricate than the one of classical Lie algebras. On the other hand, cluster algebras are commutative algebras with combinatorial nature. In this talk, after introducing these two types of algebras, I will present the main ideas of monoidal categorification of cluster algebras, that is, how to interpret cluster combinatorics in terms of representations of quantum affine algebras.