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