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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Jeudi 16 Janvier 2025 |
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Heure |
11:00 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Xu |
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Prenom de l'orateur |
Daxin |
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Addresse email de l'orateur |
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Institution de l'orateur |
Morningside Center of Mathematics, Chinese Academy of Sciences & IHES |
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Titre |
Frobenius Structure on Theta Connections and Epipelagic Langlands Parameters |
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Résumé |
In this talk, we first review the local monodromy at infinity of the Bessel F-isocrystals following Dwork, Sperber. Then we explain a generalization of this story for theta connections. Theta connections are certain rigid connections over $P^1$ minus two points, related to epipelagic representations under the geometric Langlands correspondence. As an application, we verify a conjecture of Reeder-Yu on the epipelagic Langlands parameters under some technical conditions. The talk is based on my joint work with Xinwen Zhu and a work in progress with Lingfei Yi. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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