Tag Archives: Hida

Read my NSF proposal

Since this is NSF season, I took the opportunity to go back and look at some of my old proposals. I am definitely too shy to put my *most recent* proposal online, but I thought it might be interesting to … Continue reading

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

Let F/{\mathbf{Q}} be an arbitrary number field. Let p be a prime which splits completely in F, and consider an absolutely irreducible representation: \rho: G_{F} \rightarrow {\mathrm{GL}}_2({\overline{\mathbf{Q}}}_p) which is unramified outside finitely many primes. If one assumes that \rho is … Continue reading

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The Thick Diagonal

Suppose that F is an imaginary quadratic field. Suppose that \pi is a cuspidal automorphic form for \mathrm{GL}(2)/F of cohomological type, and let us suppose that it contributes to the cohomology group H^1(\Gamma,\mathbf{C}) for some congruence subgroup \Gamma of \mathrm{GL}_2(\mathcal{O}_F). … Continue reading

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