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) Davide MASOERO - Lisbonne,
Titre Algebraic aspects of the ODE/IM correspondence (projet ERC QAffine)
Horaire14:00 à 15:00
RésumeThe ODE/IM correspondence is a conjectural and surprising link between nonlocal observable of integrable quantum field theories and monodromy data of linear analytic ODEs. In this talk $g$ is a simple Lie algebra over the complex field. Given a pair (L,w) where L is a $^{L} g^{(1)}$-affine oper (of a particular type) and w an element of the Weyl group of g, we construct a solution of the nested Bethe Ansatz equations of the Quantum g-KdV model. We will briefly introduce the physical origin and the main contributions to the ODE/IM correspondence. The talk is based on a joint work with A. Raimondo and D. Valeri.