Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :Pierre Fima, François Le Maître, Romain Tessera
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Orateur(s) Rui Loja Fernandes - UIUC,
Titre Obstructions to non-formal deformation quantization
Horaire14:00 à 15:00
RésumeThe Kontsevich formality theorem, established more than 20 years ago, implies that every Poisson manifold has a deformation quantization. The existence of non-formal deformations, on the other hand, remains largely open. We study star products defined by semi-classical integral Fourier operators. Our main result states that a Poisson manifold which admits such a star product must be integrable by a symplectic groupoid. This is on-going joint work with Alejandro Cabrera (U.F. Rio de Janeiro).
AdresseSophie Germain