[NOVA Math] Seminar of Algebra and Logic

The Center of Mathematics and Applications (NOVA Math), promote the Seminar of Algebra and Logic with the title: “Keys and evacuation via virtualization”. Olga Azenhas (CMUC, Universidade de Coimbra) is the speaker.

Abstract: We show that the key map on crystals of any classical type can be reduced to a key map on simply-laced types by using virtualization of crystals. Our proofs are type-free and crystal model independent. The virtualization map also induces an embedding on the Weyl groups by the diagram folding. Thus our results also apply to uniform models like the alcove and the Lakshmibai–Seshadri paths. As a direct application we obtain new algorithms to compute evacuation, keys, and Demazure atoms in type Bn in terms of Kashiwara–Nakashima tableaux. In particular, we are able to use type An and Cn methods. For type Cn, we apply results obtained by Azenhas–Tarighat Feller–Torres, Azenhas– Santos and Santos. This is a joint work with González, Huang and Torres. 

Monday, 2 December 2024, at 14:00.