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Monthly Archives: June 2013
Scholze on Torsion, Part IV
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
Scholze on Torsion, Part III
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 preScholze days. Let’s continue with the same notation … Continue reading
Posted in Mathematics
Tagged Galois Representations, Langlands, Peter Scholze, torsion, Vaporware
3 Comments
Scholze on Torsion, Part II
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
Posted in Mathematics
Tagged Bianchi Groups, Determinants, GaĆ«tan Chenevier, Galois Representations, Peter Scholze, torsion
6 Comments
Scholze on Torsion, Part I
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 is … Continue reading
En Passant II
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
Posted in Mathematics, Waffle
Tagged 1995, Elsevier, Fermat, Fred Diamond's Beard, Gold Access, Gowers, Peter Scholze
2 Comments
Scholze on Torsion 0
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
Posted in Mathematics
Tagged Cohomology, David Geraghty, Galois Representations, Peter Scholze, torsion
2 Comments
Bad Headlines, and Schoenberg Redux
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