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!

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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

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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

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