Status |
Confirmed |
Seminar Series |
MATH-IHES |
Subjects |
math |
Date |
Thursday 13 February 2025 |
Time |
11:00 |
Institute |
IHES |
Seminar Room |
Amphithéâtre Léon Motchane |
Speaker's Last Name |
Watanabe |
Speaker's First Name |
Takumi |
Speaker's Email Address |
|
Speaker's Institution |
Université de Tokyo & IHES |
Title |
On the (phi, Gamma)-modules Corresponding to Crystalline Representations, Semi-stable Representations and de Rham Representations |
Abstract |
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. |
arXiv Preprint Number |
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Comments |
Séminaire de Géométrie Arithmétique |
Attachments |
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