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: eigenvarieties
Eigenvarieties and Venkatesh’s conjecture
I was going to write a post about my paper with Jack, but the thing I wrote outgrew the bounds of a blog post, so it’s available here instead. Enjoy! Advertisements
The eigencurve at the boundary
Let be a prime (assumed for simplicity), and fix a character . Let denote the component of weight space, and let denote the portion of the eigencurve (of whatever tame level ). For a point , write as shorthand for … Continue reading
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 implement “mathscr” fonts on this blog, so objects denoted in 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
Leave a comment