Séminaires : Séminaire d'Algèbre

It is a classical theorem that for any DG algebra AA, the pair of its Hochschild (co)homologies  (H^∙(A,A),H_∙(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.

This talk will take place in hybrid mode at the Institut Henri Poincaré.