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Statut |
Confirmé |
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Série |
STR-LPT-ENS-HE |
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Domaines |
hep-th |
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Date |
Mercredi 20 Novembre 2013 |
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Heure |
14:00 |
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Institut |
LPTHE |
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Salle |
Bibliothéque |
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Nom de l'orateur |
Fine |
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Prenom de l'orateur |
Joel |
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Addresse email de l'orateur |
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Institution de l'orateur |
Université Libre de Bruxelles |
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Titre |
The diversity of symplectic Calabi-Yau 6-manifolds. |
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Résumé |
I will describe joint work with Dmitri Panov (Kings, London). A symplectic Calabi-Yau is a symplectic
manifold with vanishing first Chern class. In (real) dimension 4 it has long been conjectured we already
know all such manifolds and that there are not many more than in the Kähler setting. I will explain how
already in dimension 6 this is far from true. I will describe examples of simply connected symplectic
manifolds with b_3=0 and b_2 arbitrarily high as well as examples whose fundamental group is a give
finitely presented group. The key ingredient in these constructions is a link between hyperbolic geometry
in dimension 4 and a certain symplectic Calabi-Yau 6-manifold: the small resolution of the conifold.
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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