Séminaires : Groupes, Représentations et Géométrie

Equipe(s) : gr,
Responsables :Adrien Brochier, Olivier Brunat, Jean-Yves Charbonnel, Olivier Dudas, Daniel Juteau, Emmanuel Letellier, Michela Varagnolo, Eric Vasserot
Email des responsables : adrien.brochier@imj-prg.fr ; olivier.brunat@imj-prg.fr; jean-yves.charbonnel@imj-prg.fr; olivier.dudas@imj-prg.fr; emmanuel.letellier@imj-prg.fr; daniel.juteau@imj-prg.fr; varagnol@math.u-cergy.fr; eric.vasserot@imj-prg.fr
Salle : 1016
Adresse :Sophie Germain
Description

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Orateur(s) Ryo FUJITA - Kyoto,
Titre Monoidal Jantzen filtrations for quantum affine algebras
Date15/10/2021
Horaire10:30 à 12:15
Diffusion
RésumeWe propose a systematic construction of an analogue of Jantzen filtrations for arbitrarily ordered tensor products of fundamental modules over the quantum affine algebra of general untwisted type using the normalized R-matrices. For type ADE, we show that our construction yields a quantization of the Grothendieck ring of the monoidal category of finite-dimensional modules, which coincides with the quantum Grothendieck ring constructed by Nakajima and Varagnolo-Vasserot in terms of perverse sheaves. For general type, we conjecture that it yields a unified representation-theoretic interpretation of the quantum Grothendieck ring constructed by Hernandez in a purely algebraic way. This talk is based on my ongoing joint work with David Hernandez.
Salle1016
AdresseSophie Germain
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