On the connected components of moduli spaces of finite flat models

Abstract

We prove that the non-ordinary component is connected in the moduli spaces of finite flat models of two-dimensional local Galois representations over finite fields. This was conjectured by Kisin. As an application to global Galois representations, we prove a theorem on the modularity comparing a deformation ring and a Hecke ring.

arXiv comment13 pages

Cited by in corpus (3)

• A Harder-Narasimhan theory for Kisin modules
• G-valued crystalline representations with minuscule p-adic Hodge type
• Ramification and moduli spaces of finite flat models