Date/heure
31 mai 2018
14:15 - 15:15
Oratrice ou orateur
Valerio Melani
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Motivated by deformation quantization, Weinstein initiated the study of the « Poisson category ». This should be a category whose objects are Poisson manifolds, and whose morphisms are coisotropic correspondences. Unfortunately, in the general case there is no such category. In fact, composition of morphisms by fiber products is not always available, and one needs to put strong enough « clean intersection » hypothesis to make it possible. In this talk, we present a realization of the Poisson category in the context of derived algebraic geometry, which is a homotopical generalization of classical algebraic geometry. The talk will be based on joint work(s) with Rune Haugseng and Pavel Safronov.