Top Posts & Pages

Recent Posts
Recent Comments
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: abelian varieties
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
Leave a comment
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
1 Comment