Seminario di geometria - Einstein Metrics, Harmonic Forms, and Conformally Kähler Geometry

Link identifier #identifier__9761-1Link identifier #identifier__34344-2

23 Maggio 2019, ore 14:30
Dipartimento di Matematica e Fisica, Aula 211
Largo San Leonardo Murialdo, 1 palazzina C - Roma

Giovedì 23 maggio 2019 alle ore 14:30 il Dipartimento di Matematica e Fisica, ospiterà il seminario di Geometria del prof. Claude Le Brun dal titolo "Einstein Metrics, Harmonic Forms, and Conformally Kähler Geometry".

Abstract
There are certain compact 4-manifolds, such as real and complex hyperbolic 4-manifolds, 4-tori, and K3, where we completely understand the moduli space of Einstein metrics. But there are vast numbers of other 4-manifolds where we know that Einstein metrics exist, but cannot currently determine whether or not there are other Einstein metrics on them that are qualitatively different from the currently-known ones. In this lecture, I will first present a characterization of the known Einstein metrics on Del Pezzo surfaces that I discovered several years ago, and then describe a  delicate generalization which I obtained only quite recently.

Per informazioni:
Filippo Viviani
Link identifier #identifier__140681-1viviani@mat.uniroma3.it