Tag Archives: Hida

The nearly ordinary deformation ring is (usually) torsion over weight space

Let be an arbitrary number field. Let be a prime which splits completely in , and consider an absolutely irreducible representation: which is unramified outside finitely many primes. If one assumes that is geometric, then the Fontaine–Mazur conjecture predicts that … Continue reading

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The Thick Diagonal

Suppose that is an imaginary quadratic field. Suppose that is a cuspidal automorphic form for of cohomological type, and let us suppose that it contributes to the cohomology group for some congruence subgroup of . Choose a prime which splits … Continue reading

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