100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Claude Lebrun

Einstein Metrics, Harmonic Forms, and Conformally Kähler Geometry
Mardi, 30 Avril, 2019 - 10:30
Résumé : 

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.

Institution de l'orateur : 
Stony Brook
Thème de recherche : 
Algèbre et géométries
Salle : 
Salle 04
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