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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Lundi 12 Janvier 2026 |
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Heure |
14:00 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Goujard |
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Prenom de l'orateur |
Elise |
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Addresse email de l'orateur |
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Institution de l'orateur |
Université de Nantes |
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Titre |
Geometry of Large Genus Flat Surfaces |
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Résumé |
Gluing the opposite sides of a square gives a flat torus: a torus endowed with a flat metric induced by the Euclidean metric on the square. Similarly, one can produce higher genus surfaces by gluing parallel sides of several squares. These "square-tiled surfaces" inherit from the squares a flat metric with conical singularities. In this talk we will present several recent results and conjectures on the large genus asymptotics of these surfaces, and more generally of some families of flat surfaces (joint work with V. Delecroix, P. Zograf and A. Zorich). We will also see how these results can be interpreted in the language of closed curves on surfaces. I will finish by some recent results joint with E. Duryev and I. Yakovlev that should allow to generalize these results to a larger family of flat surfaces. |
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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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