Geometry/Topology Seminar
Annamaria Ortu
SISSA
Special Kähler metrics on fibrations
Abstract: Proper holomorphic submersions of Kähler manifolds can be thought of as both a generalisation of holomorphic vector bundles and as a way of studying the behaviour of Kähler manifolds in families. We will consider fibrations whose fibres are K-semistable deformations of Kähler manifolds with constant scalar curvature, in a way compatible with the fibration structure. On such fibrations, we will describe a canonical choice of a relatively Kähler metric, called an optimal symplectic connection, that provides a generalisation of the Hermite-Einstein condition on vector bundles and gives the existence of special Kähler metrics on the total space.
Monday October 10, 2022 at 4:00 PM in 636 SEO