# 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 Description

 Orateur(s) Ping Xu - Penn State University, Titre Kontsevich-Duflo type theorem for foliations Date 17/02/2022 Horaire 14:00 à 15:00 Diffusion Résume According 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. Salle 1013 Adresse Sophie Germain