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 : à distance / remote
Adresse :IHP
Description

Depuis le 23 mars 2020, le séminaire se tient 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) Gustavo JASSO - Bonn,
Titre The symplectic geometry of higher Auslander algebras
Date01/06/2020
Horaire14:00 à 15:00
Diffusion
Résume

It is well known that the partially wrapped Fukaya category of a marked
disk is equivalent to the perfect derived category of a Dynkin quiver of
type A. In this talk I will present a higher-dimensional generalisation
of this equivalence which reveals a connection between three a
priori unrelated subjects:

* Floer theory of symmetric products of marked surfaces
* Higher Auslander-Reiten theory in the sense of Iyama
* Waldhausen K-theory of differential graded categories

If time permits, as a first application of the above relationship, I
will outline a symplecto-geometric proof of a recent result of Beckert
concerning the derived equivalence between higher Auslander algebras of
different dimensions. This is a report on joint work with Tobias
Dyckerhoff and Yankı Lekili.

Salleà distance / remote
AdresseIHP
© IMJ-PRG