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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
 abelian varieties
 Auslander
 automorphic forms
 Bellaiche
 Bergdall
 Berger
 BreuilSchneider conjecture
 Brian Conrad
 Buchsbaum
 Buzzard
 Chenevier
 Chojecki
 cohomology
 Coleman
 Colmez
 commutative algebra
 completed cohomology
 Eichler
 eigenvarieties
 Emerton
 explicit things
 Fargues
 Fontaine
 Gauss sums
 Hida
 Huber
 Kedlaya
 Lutkebohmert
 modular forms
 Newton
 nonsense
 not padic Hodge theory
 overconvergent modular forms
 padic geometry
 padic Hodge theory
 padic Langlands
 pdivisible groups
 perfectoid things
 Pilloni
 quadratic residues
 Scholze
 Sen
 Shimura
 Shimura varieties
 Tate
 Urban
 Verberkmoes
 verma modules
 Weinstein
 zeitgeist
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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