Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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
Comments Séminaire de Géométrie Arithmétique
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