Department of Mathematics - Master Calendar

Speaker: Pablo Nicolás Martínez (Universitat Politecnica de Catalunya)

Title: Poisson cohomology via spectral sequences.

Abstract: The approach to Poisson cohomology using spectral sequences is not new, but it has not been sufficiently explored. We will present new Poisson cohomology results for a wide class of Poisson manifolds using spectral sequences. Our technique allows us to prove a local Künneth formula for Poisson cohomology, which has straightforward application to computations for transversely linearizable Poisson structures, b^m-Poisson structures, and Poisson structures with transverse simple singularities of corank 2. Our construction elucidates former computations for b-Poisson manifolds (by Guillemin, Miranda, Pires, and Marcut-Osorno) using the classical technique of unfolding applied to b^m-Poisson structures. This is joint work with Eva Miranda.