A moduli stack of two-dimensional mod p Galois representations of a p-adic field is constructed, and its irreducible components are shown to correspond exactly to the Serre weights of the representations.
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Moduli stacks of two-dimensional Galois representations
A moduli stack of two-dimensional mod p Galois representations of a p-adic field is constructed, and its irreducible components are shown to correspond exactly to the Serre weights of the representations.