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 - Nagoya,
Titre Tilting theory via enhancements
Date21/03/2022
Horaire14:00 à 15:00
Diffusion
RésumeTilting theory aims at giving equivalences among various triangulated categories, such as derived categories, cluster categories, and singularity categories. Constructing such an equivalence provides a mutual understanding of these categories. In this talk, we study tilting theory for singularity categories and cluster categories from the viewpoint of dg enhancements. We will first review their construction in terms of their enhancements, and then based on this we explain a general method of giving equivalences between singularity categories and cluster categories. Our main steps are existence of (weak) right Calabi-Yau structure on the dg singularity category of commutative Gorenstein rings, and a characterization of dg orbit categories among bigraded dg categories. This is a joint work with Osamu Iyama.
SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse
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