Title: Breuil-Kisin modules and integral p-adic Hodge theory
Speaker: Hui Gao (University of Helsinki)
Time: 2019-7-2, 14:00-15:00
Place: MCM110
Abstract: 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.
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