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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Mardi 11 Juin 2019 |
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Heure |
14:30 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Zorich |
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Prenom de l'orateur |
Anton |
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Addresse email de l'orateur |
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Institution de l'orateur |
IMJ-PRG |
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Titre |
Bridges Between Flat and Hyperbolic Enumerative Geometry |
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Résumé |
: I will give a formula for the Masur-Veech volume of the moduli space of quadratic differentials in terms of psi-classes (in the spirit of Mirzakhani's formula for the Weil-Peterson volume of the moduli space of hyperbolic surfaces). I will also show that Mirzakhani's frequencies of simple closed hyperbolic geodesics of different combinatorial types coincide with the frequencies of the corresponding square-tiled surfaces. I will conclude with a (mostly conjectural) description of the geometry of a "random" square-tiled surface of large genus and of a "random" multicurve on a topological surface of large genus.
The talk is based on joint work in progress with V. Delecroix, E. Goujard and P. Zograf. It is aimed at a broad audience, so I will try to include all necessary background.
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Numéro de preprint arXiv |
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Commentaires |
Séminaire Géométrie et groupes discrets |
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Fichiers attachés |
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