5 jul 2016 -- 16:00
Aula D'Antoni, Dip.Matematica, Università "Tor Vergata", Roma
Abstract.
Let Y be a compact Kähler normal space. We study the geometry and the topology of the space of Kähler metrics on Y, that is an infinite dimensional Riemannian manifold. We extend several results by Calabi, Chen, Darvas previously established when the underlying space is smooth. As an application, we give an analytical criterion for the existence of Kähler-Einstein metrics on Fano varieties.