Modularity of PGL(2)(𝔽p)-representations over totally real fields

We study an analog of Serre’s modularity conjecture for projective representations [Formula: see text] , where [Formula: see text] is a totally real number field. We prove cases of this conjecture when [Formula: see text].

Detalles Bibliográficos
Autores principales: Allen, Patrick B., Khare, Chandrashekhar B., Thorne, Jack A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2021
Materias:
Physical Sciences
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379929/
https://www.ncbi.nlm.nih.gov/pubmed/34385325
http://dx.doi.org/10.1073/pnas.2108064118
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author Allen, Patrick B.
Khare, Chandrashekhar B.
Thorne, Jack A.
author_facet Allen, Patrick B.
Khare, Chandrashekhar B.
Thorne, Jack A.
author_sort Allen, Patrick B.
collection PubMed
description We study an analog of Serre’s modularity conjecture for projective representations [Formula: see text] , where [Formula: see text] is a totally real number field. We prove cases of this conjecture when [Formula: see text].
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spelling pubmed-83799292021-08-30 Modularity of PGL(2)(𝔽p)-representations over totally real fields Allen, Patrick B. Khare, Chandrashekhar B. Thorne, Jack A. Proc Natl Acad Sci U S A Physical Sciences We study an analog of Serre’s modularity conjecture for projective representations [Formula: see text] , where [Formula: see text] is a totally real number field. We prove cases of this conjecture when [Formula: see text]. National Academy of Sciences 2021-08-17 2021-08-12 /pmc/articles/PMC8379929/ /pubmed/34385325 http://dx.doi.org/10.1073/pnas.2108064118 Text en Copyright © 2021 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by/4.0/This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY) (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Physical Sciences
Allen, Patrick B.
Khare, Chandrashekhar B.
Thorne, Jack A.
Modularity of PGL(2)(𝔽p)-representations over totally real fields
title Modularity of PGL(2)(𝔽p)-representations over totally real fields
title_full Modularity of PGL(2)(𝔽p)-representations over totally real fields
title_fullStr Modularity of PGL(2)(𝔽p)-representations over totally real fields
title_full_unstemmed Modularity of PGL(2)(𝔽p)-representations over totally real fields
title_short Modularity of PGL(2)(𝔽p)-representations over totally real fields
title_sort modularity of pgl(2)(𝔽p)-representations over totally real fields
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379929/
https://www.ncbi.nlm.nih.gov/pubmed/34385325
http://dx.doi.org/10.1073/pnas.2108064118
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AT kharechandrashekharb modularityofpgl2fprepresentationsovertotallyrealfields
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