Differential Geometry Working Seminar

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Co-isotropic foliations in holomorphic symplectic manifolds"

In this talk, we examine a natural foliation on certain sub-manifolds of a holomorphic symplectic manifold. We discuss conditions on this foliation which guarantee that the leaf space is Hausdorff and smooth, and we show that the leaf space naturally inherits a holomorphic symplectic structure. We will also work through several examples where the leaf space of the foliation can be computed directly. The main reference for this talk is "Foliations on hypersurfaces in holomorphic symplectic manifolds" by Justin Sawon (available at arXiv:0812.3939).

MC 5403