Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 25 mai 2023 à 10:00 - salle 430

Présentée par Torres Jacinta -

Charge and Atoms beyond type A

In this talk I will describe a general philosophy, due to Patimo, for constructing positive combinatorial formulas for Kostka-Foulkes polynomials beyond type A. This amounts to constructing atomic decompositions for crystals as well as swapping functions which allow to define charge statistics. Then I will explain such a construction for crystals of type C_2 and point out future directions to follow. This is joint work with Leonardo Patimo.