Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Breuil-Kisin modules and integral p-adic Hodge theory |
| Speaker: | Breuil-Kisin modules and integral p-adic Hodge theory (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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