Fontaine's conjecture for log p-divisible groups
Title: Fontaine's conjecture for log p-divisible groups
Speaker: Shanwen Wang (Renmin University)
Time: 10:00-11:00 Beijing time, Apr. 17, 2023
Zoom ID: 4552601552 Passcode: YMSC
Location: Jin Chun Yuan West Building, 3rd floor Lecture Hall (近春园西楼三楼报告厅）
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.