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arXiv · 2003.13738

P-adic L-functions in universal deformation families

David Loeffler
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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".

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David Loeffler. 2021-01-06. P-adic L-functions in universal deformation families. https://doi.org/10.1007/s40316-021-00187-1

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