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 : Zoom ou hybride selon les orateurs. Info sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse :Zoom ou IHP Salle 01
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) Sibylle Schroll - Cologne,
Titre Recollements of derived categories of graded gentle algebras
Date04/07/2022
Horaire14:00 à 15:00
Diffusion
Résume

Graded gentle algebras are classical objects in representation theory. They are quadratic monomial algebras making them particularly amenable to study and they appear in many different areas of mathematics such as in cluster theory, in N=2 gauge theories and in homological mirror symmetry of surfaces. In this talk, we give a construction of a partial cofibrant dg algebra resolution of a graded quadratic monomial algebra inducing an explicit recollement of their derived categories. We show that for graded gentle algebras, both the left and the right side of such a recollement corresponds to cutting the underlying surface which can be associated to a graded gentle algebra. In the case of homologically smooth and proper graded gentle algebras this recollement can be restricted to the derived categories with finite total cohomology, thus inducing a recollement of the corresponding partially wrapped Fukaya categories. We give some consequences of this construction such as the existence of full exceptional sequences, silting objects and simple minded collections. This is joint work with Wen Chang and Haibo Jin arxiv.org/abs/2206.11196.

SalleZoom ou hybride selon les orateurs. Info sur https://researchseminars.org/seminar/paris-algebra-seminar
AdresseZoom ou IHP Salle 01
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