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

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5 Scopus citations


We study G-valued semistable 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.

Original languageEnglish (US)
Pages (from-to)1741-1792
Number of pages52
JournalAlgebra and Number Theory
Issue number8
StatePublished - 2015
Externally publishedYes


  • Finite flat group scheme
  • Galois representation
  • Local model
  • P-adic hodge theory

ASJC Scopus subject areas

  • Algebra and Number Theory


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