Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary
citing papers explorer
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On the Finiteness of Geometric Representations for Varieties over Finite Fields
Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
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Prescribed lifts of 2-dimensional representations
Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary