Attention : tout l'Institut Henri Poincaré (les deux bâtiments Borel et Perrin, la bibliothèque et le musée) sera fermé les mardi 15 et mercredi 16 septembre en raison d'un évènement exceptionnel.
Veuillez nous excuser pour la gêne occasionnée et nous vous remercions de votre compréhension.
Du
Shedule -
Équations différentielles motiviques et au–delà
Quantum character varieties
IHP
314
In this talk I will discuss a quantisation procedure for a class of affine del Pezzo surfaces that appear in several contexts of mathematics. Most of the talk will be based on a specific example, namely the affine del Pezzo surfaces defined as
character variety of a torus with one disk removed. I will show the relation between this surface, singularity theory, Painlev\'e differential equations, and introduce a cluster algebra structure on it which is related to Markov numbers. I will discuss quantisation of the Markov cubic in terms of basic orthogonal polynomials and relate it to Sklyanin algebra.