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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 13 Fevrier 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 |
Watanabe |
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Prenom de l'orateur |
Takumi |
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Addresse email de l'orateur |
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Institution de l'orateur |
Université de Tokyo & IHES |
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Titre |
On the (phi, Gamma)-modules Corresponding to Crystalline Representations, Semi-stable Representations and de Rham Representations |
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Résumé |
From the 1980s to the 1990s, Jean-Marc Fontaine introduced the theory of (phi, Gamma)-modules to study p-adic Galois representations. They are simpler than p-adic Galois representations, but he showed an equivalence between them. Among p-adic Galois representations, some classes are particularly important in number theory. Main examples are crystalline representations, semi-stable representations and de Rham representations. In this talk, I will explain how we can determine the (phi, Gamma)-modules corresponding to these representations. These results can be seen, in a sense, as generalizations of Wach modules. |
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Numéro de preprint arXiv |
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Commentaires |
Séminaire de Géométrie Arithmétique |
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Fichiers attachés |
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