中央大学 幾何・トポロジーセミナー

Eckhard Meinrenken 氏（Univ.Toronto）

講演題目：Splitting theorems for Poisson and related structures
Abstract：According to the Weinstein splitting theorem, any Poisson manifold is locally, near any given point m a product of a symplectic manifold with another Poisson manifold whose Poisson bivector field vanishes at m. Similar splitting results exist for Lie algebroids, anchored vector bundles, Dirac structures, generalized complex structures and so on. I will explain a new approach towards these results, leading to more precise versions and generalizations. (Based on joint work with Henrique Bursztyn and Hudson Lima.)