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Number Theory Seminar
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2020/12/16
17:00-18:00 Online
Kazuki Yamada (Keio University)
Rigid analytic Hyodo--Kato theory with syntomic coefficients (Japanese)
Kazuki Yamada (Keio University)
Rigid analytic Hyodo--Kato theory with syntomic coefficients (Japanese)
[ Abstract ]
The Hyodo—Kato theory is the study of comparison between Hyodo—Kato cohomology and de Rham cohomology associated to semistable schemes over complete discrete valuation rings of mixed characteristic $(0,p)$.
In this talk, we will give a rigid analytic reconstruction of Hyodo—Kato theory and study coefficients of cohomology.
Our construction is useful for explicit computation and treatment of base extension, because it gives us a natural interpretation of the dependence of Hyodo—Kato theory on the choice of a branch of the $p$-adic logarithm.
The results of this talk are based on a joint work with Veronika Ertl, which deals with the case of trivial coefficient.
The Hyodo—Kato theory is the study of comparison between Hyodo—Kato cohomology and de Rham cohomology associated to semistable schemes over complete discrete valuation rings of mixed characteristic $(0,p)$.
In this talk, we will give a rigid analytic reconstruction of Hyodo—Kato theory and study coefficients of cohomology.
Our construction is useful for explicit computation and treatment of base extension, because it gives us a natural interpretation of the dependence of Hyodo—Kato theory on the choice of a branch of the $p$-adic logarithm.
The results of this talk are based on a joint work with Veronika Ertl, which deals with the case of trivial coefficient.
