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 : Info sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse :
Description

Le séminaire est prévu en présence à l'IHP et à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.

 

Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.

 

Orateur(s) Vyjayanthi CHARI - Riverside,
Titre Tensor products and character formulae for HL-modules and monoidal categorification (Projet ERC QAffine)
Date06/05/2019
Horaire14:00 à 15:00
Diffusion
RésumeIn 2009 Hernandez and Leclerc introduced certain tensor subcategories of representation of quantum affine algebras associated with a height function. Under certain conditions on htis function they proved that the corresponding Grothendieck ring admitted the structure of a cluster algebra. In this talk we shall discuss the problem for a general height function in type A and derive character formulae for the prime objects (cluster variables) in the category and also the tensor product rules (exchange relations) for these objects. Finally we shall discuss a resolution of the prime objects in terms of Weyl (standard) modules. The talk is based on joint work with Matheus Brito.
SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse
© IMJ-PRG