P-adic L-functions in universal deformation families
Number Theory
2023-09-15 v2
Abstract
We construct examples of p-adic L-functions over universal deformation spaces for GL(2). We formulate a conjecture predicting that the natural parameter spaces for p-adic L-functions are not the usual eigenvarieties (parametrising nearly-ordinary families of automorphic representations), but other, larger spaces depending on a choice of a parabolic subgroup, which we call "big parabolic eigenvarieties".
Cite
@article{arxiv.2003.13738,
title = {P-adic L-functions in universal deformation families},
author = {David Loeffler},
journal= {arXiv preprint arXiv:2003.13738},
year = {2023}
}
Comments
14 pages. Updated based on recent results of Y. Ding and K. Nakamura