<i>G</i>-valued crystalline representations with minuscule<i>p</i>-adic Hodge type
<i>G</i>-valued crystalline representations with minuscule<i>p</i>-adic Hodge type
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 …