Tag Archives: Families

Picard Groups of Moduli Stacks

Posted on April 30, 2020 by Persiflage

Here are some algebraic geometry musings related to the last post, most of which is hopefully correct. Everything below is secretly over \(\mathbf{Z}[1/6]\) but I think one may as well think about what is happening over \(\mathbf{C}\). Warning: I don’t … Continue reading →

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The distribution of Hecke eigenvalues, part II

Posted on August 1, 2014 by Persiflage

Here are some numbers from KB promised in my last post. “For the first 61595 newforms of squarefree level coprime to 15 here’s the field extension of Z/3Z generated by the \(a_5\) field extensions:” \([\mathbf{F}_3(a_5):\mathbf{F}_3]\) Total Number Number of Galois … Continue reading →

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The distribution of Hecke eigenvalues, Part I

Posted on July 29, 2014 by Persiflage

Here is a question I raised at the Puerto-Rico conference during one of the “problem sessions.” Toby Gee seems to remember that I had some half-baked heuristics that predicted both A and B below, but perhaps one of my readers … Continue reading →

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