Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : 001
Adresse :IHP


Orateur(s) Sonia NATALE - ,
Titre Exact sequences of tensor categories and applications
Horaire14:00 à 15:00
RésumeThe talk will be based on joint work with A. Bruguières. We shall discuss the notions of normal tensor functor and exact sequence of tensor categories. Examples of exact sequences of tensor categories arise from (strictly) exact sequences of Hopf algebras, and in particular, from exact sequences of finite groups, and also from equivariantization of a finite tensor category under the action of a finite group. We shall present a classification of exact sequences of tensor categories $C' \to C \to C''$, such that $C'$ is finite, in terms of normal faithful Hopf monads on $C''$. We shall also discuss some applications to classification of fusion categories.