IGAP Complex Differential Geometry Seminar on: Special Kähler metrics on fibrations
Starts 30 Nov 2022 14:00
Ends 30 Nov 2022 15:00
Central European Time
IGAP Lecture room
Former Sissa Building - Via Beirut 2
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.