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 : format hybride, IHP salle 01 et/ou à distance (Zoom). Info sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse :IHP
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) Nicolas WILLIAMS - Cologne,
Titre Equivalence of maximal green sequences
Date07/02/2022
Horaire14:00 à 15:00
Diffusion
RésumeIt is natural to study the set of maximal green sequences of an algebra under an equivalence relation. The resulting set of equivalence classes has the structure of a poset; it is a lattice in type A, where the equivalence classes are in bijection with triangulations of three-dimensional cyclic polytopes. There are at least four appealing ways of defining an equivalence relation on maximal green sequences: commutation, exchange pairs, tau-rigid summands, and bricks. The main result of my talk will be that the first three methods define the same equivalence relation, while the fourth does not. This gives a surprising lack of duality between bricks, which correspond to simples, and tau-rigid summands, which correspond to projectives. This is a report on joint work in progress with Mikhail Gorsky.
Salleformat hybride, IHP salle 01 et/ou à distance (Zoom). Info sur https://researchseminars.org/seminar/paris-algebra-seminar
AdresseIHP
© IMJ-PRG