Number Theory Seminar

Seminar information archive ~05/21Next seminarFuture seminars 05/22~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

Next seminar

2024/05/22

17:00-18:00   Room #117 (Graduate School of Math. Sci. Bldg.)
Takumi Watanabe (University of Tokyo)
On the (φ,Γ)-modules corresponding to crystalline representations and semi-stable representations
[ Abstract ]
From the 1980s to the 1990s, J.-M. Fontaine constructed an equivalence of categories between the category of (φ, Γ)-modules and the category of p-adic Galois representations. After recalling it, I will present my result on the (φ, Γ)-modules corresponding to crystalline representations and semi-stable representations. As for the crystalline case, this can be seen, in a sense, as a generalization of Wach module in the ramified case. If time permits, I will explain my ongoing research on the (φ, Γ)-modules corresponding to de Rham representations.