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Fontaine’s conjecture for log p-divisible groups

组织者

刁晗生 , 胡悦科 , 埃马纽埃尔·勒库图里耶 , 凯撒·鲁普

演讲者

Shanwen Wang

时间

2023年04月17日 10:00 至 11:00

地点

JCY-Hall

摘要

Let $K$ be a finite extension of $Q_p$ with ring of integer $O_K$. It is a very classical result due to Fontaine, Laffaille, Breuil and Kisin that the a galois representation of $G_K$ is cristalline with Hodge-Tate weights in $[0,1]$ if and only if it arises from a $p$-divisible group over $O_K$. In this talk, we will explain its generalization to log $p$-divisible groups. More precisely, we show that a galois representation of $G_K$ is semi-stable with Hodge-Tate weights in $[0,1]$ if and only if it arises from a log $p$-divisible group. Joint work with A. Bertapelle and H. Zhao.