代数学コロキウム

過去の記録 ~04/17次回の予定今後の予定 04/18~

開催情報 水曜日 17:00~18:00 数理科学研究科棟(駒場) 117号室
担当者 今井 直毅,ケリー シェーン

2020年12月16日(水)

17:00-18:00   オンライン開催
山田 一紀 氏 (慶應義塾大学)
Rigid analytic Hyodo--Kato theory with syntomic coefficients (Japanese)
[ 講演概要 ]
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.