Loeffler, David (2023) P-adic L-functions in universal deformation families. Annales mathematiques de Quebec, 47 . pp. 117-137. doi:10.1007/s40316-021-00187-1 ISSN 2195-4755.

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Abstract

We construct examples of p-adic L-functions over universal deformation spaces for GL2. We formulate a conjecture predicting that the natural parameter spaces for p-adic L-functions and Euler systems 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’.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Annales mathematiques de Quebec
Publisher:	Springer
ISSN:	2195-4755
Official Date:	April 2023
Dates:	Date Event April 2023 Published 13 December 2021 Available 6 September 2021 Accepted
Volume:	47
Page Range:	pp. 117-137
DOI:	10.1007/s40316-021-00187-1
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	13 September 2021
Date of first compliant Open Access:	14 December 2021
Related URLs:	Publisher
Open Access Version:	ArXiv

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