Speaker
Ping Xu, Penn State University
Abstract
It is a classical theorem that for any DG algebra $A$, the pair of its Hochschild (co)homologies $(H^\bullet (A, A), H_\bullet (A, A))$ admits rich algebraic structures, resembling the usual Cartan calculus, called noncommutative calculus. DG manifolds are a useful geometric notion for describing spaces with singularities. In this talk, I will discuss the noncommutative calculus for the DGA associated with a DG manifold and present a Duflo–Kontsevich type theorem for DG manifolds.
This is joint work with Hsuan-Yi Liao and Mathieu Stienon.