Formality theorem and Kontsevich--Duflo theorem for Lie pairs (Hsuan-Yi Liao, Penn State)

22.09.2017 14:00

A Lie pair $(L,A)$ consists of a Lie algebroid $L$ together with a Lie subalgebroid $A$. A wide range of geometric situations can be described in terms of Lie pairs including complex manifolds, foliations, and manifolds equipped with Lie algebra actions. We establish the formality theorem for Lie pairs. As an application, we obtain Kontsevich--Duflo type theorems for Lie pairs. In this talk, I'll start with the case of $\mathfrak{g}$-manifolds, i.e., smooth manifolds equipped with Lie algebra actions. After that, I'll explain formality theorem and Kontsevich--Duflo theorem for Lie pairs and other geometrical situations.

Lieu

Bâtiment: Battelle

Séminaire "Groupes de Lie et espaces des modules"

Organisé par

Section de mathématiques

Intervenants

Hsuan-yi Liao, Penn State

entrée libre

Classement

Catégorie: Séminaire