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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Jeudi 17 Janvier 2019 |
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Heure |
11:00 |
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Institut |
LPTHE |
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Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
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Nom de l'orateur |
Boucksom |
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Prenom de l'orateur |
Sebastien |
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Addresse email de l'orateur |
sebastien [dot] boucksom [at] polytechnique [dot] edu |
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Institution de l'orateur |
CMLS, Ecole Polytechnique |
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Titre |
Kähler-Einstein metrics |
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Résumé |
Kähler metrics are a special class of Riemannian metrics, defined on complex manifolds, and
locally expressed as the (complex) Hessian of a potential. Kähler metrics with constant Ricci
curvature are called Kähler-Einstein, and come in three flavors, according to the curvature
sign. I will review Aubin and Yau's classical existence and uniqueness results in the case of
negative and zero curvature (Calabi-Yau metrics), and describe some aspects of the Yau-
Tian-Donaldson conjecture, solved a few years ago, and which solves the existence problem
in the case of positive curvature (Fano manifolds). |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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