G-VALUED CRYSTALLINE REPRESENTATIONS WITH MINUSCULE p-ADIC HODGE TYPE
نویسنده
چکیده
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, Ĝ)-modules and the local models constructed by Pappas and Zhu.
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