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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Mercredi 17 Juin 2026 |
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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 |
Chekhov |
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Prenom de l'orateur |
Leonid |
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Addresse email de l'orateur |
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Institution de l'orateur |
Michigan State University & IHES |
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Titre |
Volumes of Moduli Spaces of Bordered Surfaces and Schwarzians |
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Résumé |
We consider ``fool's crowns'' -- parts of Riemann surfaces with holes with n marked points/bordered cusps on a hole boundary decorated by horocycles. We define volumes of the corresponding moduli spaces by postulating a decoration-independent action, which in the limit of n tending to infinity transforms into a Schwarzian action on boundary "trumpets". We derive the corresponding volumes for arbitrary n and coupling constant kappa and describe the statistical model obtained in terms of Brownian bridges. This is a joint work with Timothy Budd (Nijmegen Univ.) |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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