Fontaine's conjecture for log p-divisible groups

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.

About the speaker 

王善文，中国人民大学副教授，研究方向为数论与算术代数几何，曾获国家高层次青年人才计划支持。2005年本科毕业于清华大学；2010年获法国巴黎综合理工大学数学博士，师从数论名家Pierre Colmez；2015年至2019年任上海数学中心青年研究员，2019年入职中国人民大学。