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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
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 BreuilSchneider conjecture
 Brian Conrad
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 not padic Hodge theory
 overconvergent modular forms
 padic geometry
 padic Hodge theory
 padic Langlands
 pdivisible groups
 perfectoid things
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 quadratic residues
 Scholze
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 verma modules
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Tag Archives: pdivisible groups
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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Two questions
Question the first Let be the integer ring of a mixed characteristic local field . Fix an algebraic closure with absolute Galois group , and let be a Galoisstable lattice in a crystalline representation of all of whose HodgeTate weights … Continue reading
Posted in Uncategorized
Tagged BreuilSchneider conjecture, padic Langlands, pdivisible groups
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A pdivisible puzzle
Let be a completed algebraic closure of , and let be a pdivisible group. The Tate module of sits in a HodgeTate sequence . According to a recent theorem of ScholzeWeinstein, the map induces an equivalence of categories from the … Continue reading
Posted in Uncategorized
Tagged padic Hodge theory, pdivisible groups, Scholze, Weinstein
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Fun with crystalline periods
The earliest results in what we now call padic Hodge theory are due to Tate and Sen, but nevertheless it seems reasonable to largely credit Fontaine for giving shape and direction to this subject and establishing it as a vital, … Continue reading