The Library
Overconvergent algebraic automorphic forms
Tools
Loeffler, David (2011) Overconvergent algebraic automorphic forms. Proceedings of the London Mathematical Society, 102 (2). pp. 193-228. doi:10.1112/plms/pdq019 ISSN 0024-6115.
|
PDF
WRAP_Loeffler_overconvergent_one_file.pdf - Accepted Version - Requires a PDF viewer. Download (712Kb) | Preview |
Official URL: http://dx.doi.org/10.1112/plms/pdq019
Abstract
A general theory of overconvergent p-adic modular forms and eigenvarieties is presented for connected reductive algebraic groups G whose real points are compact modulo centre, extending earlier constructions due to Buzzard, Chenevier and Yamagami for forms of GLn. This leads to some new phenomena, including the appearance of intermediate spaces of ‘semi-classical’ automorphic forms; this gives a hierarchy of interpolation spaces (eigenvarieties) interpolating classical automorphic forms satisfying different finite slope conditions (corresponding to a choice of parabolic subgroup of G at p). The construction of these spaces relies on methods of locally analytic representation theory, combined with the theory of compact operators on Banach modules.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Automorphic forms, Forms, Modular, Convergence, Linear algebraic groups | ||||
Journal or Publication Title: | Proceedings of the London Mathematical Society | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 0024-6115 | ||||
Official Date: | 2011 | ||||
Dates: |
|
||||
Volume: | 102 | ||||
Number: | 2 | ||||
Page Range: | pp. 193-228 | ||||
DOI: | 10.1112/plms/pdq019 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 21 January 2016 | ||||
Date of first compliant Open Access: | 21 January 2016 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year