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
Descripción
Sumario: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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