Modular representation theory of symmetric groups and related Hecke algebras

Mardi 10 mai 2016 14:15-15:15 - Alexander Kleshchev - University of Oregon

Résumé : We review representation theory of symmetric groups and related Hecke algebras over fields of positive characteristic. Starting with branching rules and Chuang-Rouquier derived equivalences, we emphasize connections to categorification of highest weight modules over Kac-Moody algebras. We discuss connections with Khovanov-Lauda-Rouquier algebras and their semicuspidal representations. In the end, we present a recent joint result with Anton Evseev, which describes every block of a symmetric group up to derived equivalence as a certain Turner double algebra. This description was conjectured by Will Turner.

Lieu : Bât. 425, salle 117-119

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