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arXiv · 1403.0553

G-valued crystalline representations with minuscule p-adic Hodge type

Brandon Levin
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Abstract

We study G-valued semi-stable Galois deformation rings where G is a reductive group. We develop a theory of Kisin modules with G-structure and use this to identify the connected components of crystalline deformation rings of minuscule p-adic Hodge type with the connected components of moduli of "finite flat models with G-structure." The main ingredients are a construction in integral p-adic Hodge theory using Liu's theory of $(φ, \widehat{G})$-modules and the local models constructed by Pappas and Zhu.

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Brandon Levin. 2015-08-01. G-valued crystalline representations with minuscule p-adic Hodge type. https://doi.org/10.2140/ant.2015.9.17

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