Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Vendredi 23 Fevrier 2018 |
Heure | 14:30 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Sustretov |
Prenom de l'orateur | Dmitry |
Addresse email de l'orateur | |
Institution de l'orateur | Max Planck Inst. for Mathematics & IHES |
Titre | Gromov-Hausdorff limits of curves with flat metrics and non-Archimedean geometry |
Résumé | Two versions of the SYZ conjecture proposed by Kontsevich and Soibelman give a differential-geometric and a non-Archimedean recipes to find the base of the SYZ fibration associated to a family of Calabi-Yau manifolds with maximal unipotent monodromy. In the first one this space is the Gromov-Hausdorff limit of associated geodesic metric spaces, and in the second one it is a subset of the Berkovich analytification of the associated variety over the field of germs of meromorphic functions over a punctured disc. In this talk I will discuss a toy version of a comparison between the two pictures for maximal unipotent degenerations of complex curves with flat metrics with conical singularities, and speculate how the techniques used can be extended to higher dimensions. |
Numéro de preprint arXiv | |
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