Tag Archives: George Schaeffer

Polymath Proposal: 4-folds of Mumford’s type

Let A/K be an abelian variety of dimension g over a number field. If g \not\equiv 0 \bmod 4 and \mathrm{End}(A/\mathbf{C}) = \mathbf{Z}, then Serre proved that the Galois representations associated to A have open image in \mathrm{GSp}_{2g}(\mathbf{Z}_p). The result … Continue reading

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I asked… and you responded!

I often ask mathematical questions on this blog that I don’t know how to answer. Sometimes my smart readers are able to answer the questions I ask. Surely they deserve some recognition for this? Here are two such occasions which … Continue reading

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Gross Fugue

Here are some variations on the theme of the last post, which is also related to a problem of Dick Gross. In this post, I want to discuss weight one modular forms where the level varies in the “vertical” aspect … Continue reading

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The mystery of the primes

No, this is not the sequel to Marcus du Sautoy’s book, but rather a curious observation regarding George Schaeffer’s tables of “ethereal” weight one Katz modular eigenforms (which you can find starting on p.64 here). Let N be a positive … Continue reading

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