## 数論幾何学セミナー：　Syntomic cohomology

2012年 　 1月 12日 13時 30分 ～ 2012年 　 1月 12日 16時 30分

This is an expository talk on syntomic cohomology of Fontaine and
Messing, which is the key tool in the proof of the comparison theorems in p-adic Hodge theory.
Starting from the definition of syntomic complex, I will explain how to relate etale cohomology to filtered $\phi$-module (Fontaine-Messing theory).
If time permits, I will also explain explicit reciprocity law of Kato.
(I am sorry I cannot explain log-syntomic or rigid syntomic cohomology because I am a poor mathematician.)