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Meta
Tag Archives: Ordinary
Are Galois deformation rings Cohen-Macaulay?
Hyman Bass once wrote a paper on the ubiquity of Gorenstein rings. The first time they arose in the context of Hecke algebras, however, was Barry’s Eisenstein ideal paper, where he proves (at prime level) that the completions \(\mathbf{T}_{\mathfrak{m}}\) are … Continue reading
Posted in Mathematics
Tagged Andrew Snoden, Cohen-Macaulay, Fabien Sander, Gorenstein, Hecke Algebra, Kevin Buzzard, Lloyd Kilford, Ordinary
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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
Posted in Mathematics, Students
Tagged Hida, Jordan Ellenberg, Manin Mumford, Ordinary, Thick Diagonal, Vlad Serban
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