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) Ping Xu - Penn State University,
Titre Kontsevich-Duflo type theorem for foliations
Horaire14:00 à 15:00
RésumeAccording to Hochschild-Kostant-Rosenberg theorem, for a smooth manifold $M$, the Hochschild cohomology of the algebra of smooth functions $C^\infty (M)$ (with values in itself) is naturally isomorphic, via the HKR-map, to the space of polyvector fields on $M$ as Gerstenhaber algebras. In this talk, we will discuss how to extend this theorem to the situation when $M$ is replaced by the leaf space of a foliation. In this case, a correction term--- the square root of the Todd class of the foliation is needed. The talk is based on the joint works with Z. Chen, H.-Y. Liao, M. Stienon and M. Xiang.
AdresseSophie Germain