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) Ryu Tomonaga - U. of Tokyo,
Titre Weak del Pezzo surfaces yield 2-hereditary algebras and 3-Calabi-Yau algebras
Date15/12/2025
Horaire14:00 à 15:00
Diffusion
Résume

The importance of studying d-tilting bundles, which are tilting bundles whose endomorphism algebras have global dimension d (or less), on d-dimensional smooth projective varieties has been recognized recently. Previous work conjectured that a smooth projective surface has a 2-tilting bundle if and only if is is a weak del Pezzo surface. In our research, we prove this conjecture affirmatively. Moreover, this endomorphism algebra becomes a 2-representation infinite algebra whose 3-Calabi-Yau completion gives a non-commutative crepant resolution (NCCR) of the corresponding Du Val del Pezzo cone, generalizing a result of Van den Bergh. This talk is based on arXiv:2510.26199.

This talk will take place on Zoom only.

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