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 : 001
Adresse :IHP


Orateur(s) Osamu IYAMA - Université de Nagoya,
Titre Representation theory of Geigle-Lenzing complete intersections
Horaire14:00 à 15:00
RésumeA Geigle-Lenzing complete intersection is a generalization of weighted projective lines of Geigle and Lenzing. We study the stable category of Cohen-Macaulay modules and the derived category of coherent sheaves on the corresponding projective space. They are equivalent to the derived categories of certain finite dimensional algebras. In this talk, we calculate global dimension of these algebras by using Tate’s DG algebra resolution for complete intersections. As an application, we discuss when these categories are equivalent to the derived categories of algebras with small global dimension. This is a joint work with Herschend, Minamoto and Oppermann.