G-valued crystalline representations with minuscule p-adic Hodge type
Number Theory
2016-01-20 v2
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 -modules and the local models constructed by Pappas and Zhu.
Cite
@article{arxiv.1403.0553,
title = {G-valued crystalline representations with minuscule p-adic Hodge type},
author = {Brandon Levin},
journal= {arXiv preprint arXiv:1403.0553},
year = {2016}
}