Abstract

Differential graded manifolds are a useful concept that provides a common framework for many important classes of algebro-geometric structures, including homotopy Lie algebras, foliations, and complex manifolds. In this talk, we will describe noncommutative calculi for differential graded manifolds and then outline a Duflo-Kontsevich type theorem. The Duflo theorem of classical Lie theory and the Kontsevich theorem regarding the Hochschild cohomology of complex manifolds are special instances of this theorem.

 

Organizers: Hsuan-Yi Liao (NTHU), River Chiang (NCKU)