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) Norihiro Hanihara - IPMU,
Titre Silting-cluster tilting correspondences
Date23/10/2023
Horaire14:00 à 15:00
Diffusion
Résume

Cluster categories are fundamental objects in representation theory, including such topics as cluster algebras, tilting theory, singularity theory. The theory of Amiot, Guo, and Keller shows that tilting/silting objects in derived categories (of a finite dimensional algebra or of a Calabi-Yau dg algebra) give rise to cluster tilting objects in the cluster category. We study such correspondences between silting objects and cluster tilting objects. We propose a conjecture on the liftability of cluster tilting objects in the cluster category to silting objects, and discuss some evidence for it. This is based on a joint work with Osamu Iyama.

This talk will take place in hybrid mode at the Institut Henri Poincaré.

SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse
© IMJ-PRG