THE DERIVED HECKE ALGEBRA FOR DIHEDRAL WEIGHT ONE FORMS

We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between v...

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Detalhes bibliográficos
Autores: Darmon, H., Harris, M., Rotger, V., Venkatesh, A.
Tipo de documento: artigo
Estado:Versión actualizada desde la publicación
Data de publicação:2022
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537063
Acesso em linha:http://hdl.handle.net/2072/537063
Access Level:Acceso aberto
Palavra-chave:Hecke algebra, Dihedral weight, Stark units,Theta correspondence
Descrição
Resumo:We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as ideas of Merel and Lecouturier on higher Eisenstein elements.