Tag Archives: Fargues

Diamonds in the rough

This post is an outgrowth of my (ongoing) attempt to understand Peter Scholze’s remarkable course at Berkeley.  The first couple of paragraphs below are a rather comically compressed summary of some portions of Jared Weinstein’s excellent notes (though of course all mistakes are my … Continue reading

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Hodge-Tate proliferation

Let be a complete algebraically closed extension, and let be an abelian variety, with p-adic Tate module and dual abelian variety . There are then at least three natural candidates for a “Hodge-Tate map” To wit: 1. (Scholze) For any … Continue reading

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w-ordinary abelian varieties and their moduli

(This post describes ongoing joint work with Przemyslaw Chojecki and Christian Johansson.) In this post I want to describe a new gauge for the ordinarity of abelian varieties over p-adic fields. The definition is rather simple; the part which actually requires … Continue reading

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