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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: cohomology
Some miscellaneous remarks on eigenvarieties
As the title says. I’ll freely use the notation of my paper, although unfortunately I can’t figure out how to implementÂ “mathscr” fonts on this blog, so objects denoted inÂ mathscr fonts in the paper are denoted in mathcal fonts below – … Continue reading
Posted in Math
Tagged automorphic forms, Bellaiche, Bergdall, Chojecki, cohomology, eigenvarieties, Newton, padic Langlands, verma modules
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Explicit EichlerShimura for GL2 over imaginary quadratic fields
Let denote the Hamilton quaternions. Set Let be the point with , . There is a transitive action of given by with multiplication taking place in . This extends uniquely to an action of by requiring that the center act … Continue reading
Posted in Math
Tagged automorphic forms, cohomology, Eichler, explicit things, Hida, Shimura, Urban
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de Rham structures and modular forms
In this post I want to use Scholzian techniques to look at the relationship between modular forms and the etale cohomology of modular curves. Since everyone cares about modular forms, this exercise might be a good way of getting exposure … Continue reading