Speaker: Ricardo Miguel Campos, ETH Zurich
Abstract: To a smooth manifold one can associate the Lie algebras of multivectorfields and multidifferential operators. Relating these two led Kontsevich to his famous formality theorem that establishes the deformation quantization of Poisson manifolds. In this talk we will see that if the manifold is oriented, the multivectorfields and the homology of the multidifferential operators admit richer Batalin-Vilkovisky (BV) algebra structures. I will introduce the relevant objects and show that this additional structure be extended to a "homotopy BV" version of Kontsevich formality theorem.
Room Reservation Information
Room Number: 104 Osmond Building
Time: 2:35pm - 3:30pm