Author Archives: Persiflage

Effective Motives

Posted on July 3, 2013 by Persiflage

This is a brief follow up concerning a question asked by Felipe. Suppose we assume the standard conjectures. Let \(M\) be a pure motive, and consider the following problems: Problem A: (“effectivity”) Suppose that \(M\) has non-negative Hodge-Tate weights. Then … Continue reading →

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Scholze on Torsion, Part IV

Posted on June 29, 2013 by Persiflage

This is a continuation of Part I, Part II, and Part III. I was planning to start talking about Chapter IV, instead, this will be a very soft introduction to a few lines on page 72. At this point, we … Continue reading →

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Scholze on Torsion, Part III

Posted on June 22, 2013 by Persiflage

This is a continuation of Part I and Part II. Before I continue along to section V.3, I want to discuss an approach to the problem of constructing Galois representations from the pre-Scholze days. Let’s continue with the same notation … Continue reading →

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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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