Abstract:
We consider the moduli space, in the sense of Kisin, of finite flat models of a 2-dimensional representation with values in a finite field of the absolute Galois group of a totally ramified extension of $\mathbb Q_p$. We determine the connected components of this space and describe its irreducible components in the case of an irreducible Galois representation. These results prove a modified version of a conjecture of Kisin.
Key words and phrases:affine Grassmannian, $\phi$-module, finite flat group scheme.
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