Canal-U

Mon compte
Institut Fourier

Claude Lebrun - Mass, Scalar Curvature, Kähler Geometry, and All That


Copier le code pour partager la vidéo :
<div style="position:relative;padding-bottom:56.25%;padding-top:10px;height:0;overflow:hidden;"><iframe src="https://www.canal-u.tv/video/institut_fourier/embed.1/claude_lebrun_mass_scalar_curvature_kahler_geometry_and_all_that.50291?width=100%&amp;height=100%" style="position:absolute;top:0;left:0;width:100%;height: 100%;" width="550" height="306" frameborder="0" allowfullscreen scrolling="no"></iframe></div> Si vous souhaitez partager une séquence, indiquez le début de celle-ci , et copiez le code : h m s
Auteur(s) :
LEBRUN Claude

Producteur Canal-U :
Institut Fourier
Contacter le contributeur
J’aime
Imprimer
partager facebook twitter Google +

Claude Lebrun - Mass, Scalar Curvature, Kähler Geometry, and All That

Given a complete Riemannian manifold that looks enough like Euclidean space at infinity, physicists have defined a quantity called the “mass” that measures the asymptotic deviation of the geometry from the Euclidean model. After first providing a self-contained introduction to the key underlying geometric concepts, I will go on to explain a simple formula, discovered in joint work with Hajo Hein, for the mass of any asymptotically locally Euclidean (ALE) Kähler manifold. When the metric is actually AE (asymptotically Euclidean), our formula not only implies the positive mass theorem for Kähler metrics, but also yields a Penrose-type inequality for the mass. I will also briefly indicate some recent technical improvements that allow one to prove these results assuming only minimal metric fall-off assumptions at infinity.

 

commentaires


Ajouter un commentaire Lire les commentaires
*Les champs suivis d’un astérisque sont obligatoires.
Aucun commentaire sur cette vidéo pour le moment (les commentaires font l’objet d’une modération)
 

Dans la même collection

FMSH
 
Facebook Twitter Google+
Mon Compte