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)

 

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.

 

 

BIMSA-YMSC Tsinghua Number Theory Seminar