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) Daniel LABARDINI-FRAGOSO - Bonn,
Titre Quivers with potentials from triangulated surfaces
Horaire14:30 à 15:30
RésumeWe give an elementary construction of quivers with potentials for (ideal) triangulations of surfaces with marked points, in such a way that triangulations related by a flip give rise to QPs related by Derksen-Weyman-Zelevinsky mutation. These QPs are non-degenerate provided the surface has non-emtpy boundary. We also give an elementary construction of representations of these QPs that correspond to cluster variables of the cluster algebra associated to the surface by Fomin-Shapiro-Thurston.