25 février 2020

Jonathan Brundan (Université de l'Oregon et IHP)
Webs and tilting modules for the general linear group

Plus d'infos...

Lieu : salle 3L15 bâtiment 307

Résumé : I will talk about some strict monoidal categories which arise in the study of rational
representations of the general linear group. These include the Schur category, which may be
realized diagrammatically in terms of webs, and the closely related category Tilt GLn of tilting
modules for GLn. As an application, I will describe the structure of the semisimplification of
Tilt GLn, that is, the quotient of this category by the tensor ideal of all negligible morphisms.
In characteristic p > n, this is a well-known Verlinde category, but we also understand now the
situations when p <= n.

Webs and tilting modules for the general linear group  Version PDF