Author Archives: Persiflage

Scholze on Torsion, Part II

Posted on June 19, 2013 by Persiflage

This is a sequel to Part I. Section V.1: Today we will talk about Chapter V. We will start with Theorem V.1.4. This is basically a summary of the construction of Galois representations in the RACSDC case, which follows, for … Continue reading →

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Scholze on Torsion, Part I

Posted on June 16, 2013 by Persiflage

This is a sequel to this post, although as it turns out we still won’t actually get to anything substantial — or indeed anything beyond an introduction — in this post. Let me begin with some overview. Suppose that \(X … Continue reading →

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En Passant II

Posted on June 15, 2013 by Persiflage

Let’s party like it’s 1995! The Boston conference on Fermat produced a wonderful book, but now you can watch the original videos. Some first impressions: some of you used to have more hair (not naming names). Forum of Mathematics Pi … Continue reading →

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Scholze on Torsion 0

Posted on June 13, 2013 by Persiflage

This will be the first zeroth of a series of posts talking about Scholze’s recent preprint, available here. This is mathematics which will, no question, have more impact in number theory than any recent paper I can think of. The … Continue reading →

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Bad Headlines, and Schoenberg Redux

Posted on June 11, 2013 by Persiflage

A bad headline can go a good way towards making an otherwise interesting article seem condescending or off point. Slate seems particularly inept (or adept, depending on the intention) in choosing titles, a characteristic which must be particularly irritating for … Continue reading →

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Swans

Posted on May 30, 2013 by Persiflage

Since I first saw it, I’ve always been very impressed by Maya Plisetskaya’s dying swan. But Charles Riley gives her a run for her money in his own original performance with Yo Yo Ma. Compare and constrast!

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Elsevier’s answer to public criticism:

Posted on May 28, 2013 by Persiflage

The following was sent to editors for an Elsevier journal; a copy of the email mysteriously fell into my hands, and I reproduce it here (in part): Following discussions with the board and at Elsevier this year, we feel that … Continue reading →

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Understatement

Posted on May 27, 2013 by Persiflage

This supposition, the so-called Twin Prime Conjecture, is not necessarily obvious . “He wasn’t a big name, and I get the impression that he wasn’t one of the leading analytical number theorists,” said Richard Taylor, a respected mathematician and a … Continue reading →

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Bush, the Messiah (and Emma Kirkby)

Posted on May 22, 2013 by Persiflage

The title of this post is, in part, a public service message to use the Oxford comma. However, there is a thread (in my mind) linking the three titular subjects. The connection between George Bush and the Messiah is not … Continue reading →

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Finiteness of the global deformation ring over local deformation rings

Posted on May 18, 2013 by Persiflage

(This post is the result of a conversation I had with Matt). Suppose that \(\overline{\rho}: G_{F} \rightarrow \mathrm{GL}_n(\mathbf{F})\) is a continuous mod-\(p\) absolutely irreducible Galois representation. For now, let’s assume that \(F/F^{+}\) is a CM field, and \(\overline{\rho}\) is essentially … Continue reading →

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