中科院数学与系统科学研究院
数学研究所
数论研讨班
报告人： Hui Gao（University of Helsinki）
题 目：Breuil-Kisin modules and integral p-adic Hodge theory
时 间：2019.07.02（星期二），14:00-15:00
地 点：晨兴110室
摘 要：We construct a certain variant of Liu's $(\varphi, \hat{G})$-modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules with Galois actions, and can be regarded as the algebraic avatar of the integral p-adic cohomology theories of Bhatt-Morrow-Scholze and Bhatt-Scholze. Along the way, we classify Galois representations that are finite height in terms of Breuil-Kisin modules.