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arithmetica on Superfectoid spaces!? arithmetica on Superfectoid spaces!? mayorliatmath on Superfectoid spaces!? lucqin on Superfectoid spaces!? Jesse on Fun with crystalline peri… Tags
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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
Posted in Math
Tagged Colmez, Fargues, Fontaine, padic Hodge theory, perfectoid things, Scholze, Weinstein
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HodgeTate proliferation
Let be a complete algebraically closed extension, and let be an abelian variety, with padic Tate module and dual abelian variety . There are then at least three natural candidates for a “HodgeTate map” To wit: 1. (Scholze) For any … Continue reading
Posted in Math
Tagged abelian varieties, Coleman, Fargues, padic Hodge theory, pdivisible groups, Scholze, Tate
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wordinary 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 padic fields. The definition is rather simple; the part which actually requires … Continue reading
Posted in Math
Tagged abelian varieties, Fargues, overconvergent modular forms, padic Hodge theory, Pilloni, Scholze, Shimura varieties, Weinstein
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