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) Tom SUTHERLAND - Oxford,
Titre Stability conditions for Painlevé quivers
Horaire14:00 à 15:00
RésumeTo each of the Painlevé equations we associate a quiver drawn on the Riemann sphere by considering trajectories of a one-dimensional family of quadratic differentials with prescribed poles. These quadratic differentials parameterise the base of a Hitchin integrable system whose isomonodromic deformations are described by the solutions of the corresponding Painlevé equation. We will describe a connected component of the space of numerical stability conditions of the Ginzburg algebra of these quivers via the periods of the Seiberg-Witten differential on the spectral elliptic curves.