BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Fontaine’s conjecture for log p-divisible groups
Fontaine’s conjecture for log p-divisible groups
Organizers
Hansheng Diao , Yueke Hu , Emmanuel Lecouturier , Cezar Lupu
Speaker
Shanwen Wang
Time
Monday, April 17, 2023 10:00 AM - 11:00 AM
Venue
JCY-Hall
Abstract
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.