dc.contributor.author
Darmon, H.
dc.contributor.author
Harris, M.
dc.contributor.author
Rotger, V.
dc.contributor.author
Venkatesh, A.
dc.date.accessioned
2023-11-21T11:54:24Z
dc.date.accessioned
2024-09-19T14:34:42Z
dc.date.available
2023-11-21T11:54:24Z
dc.date.available
2024-09-19T14:34:42Z
dc.date.issued
2022-01-01
dc.identifier.uri
http://hdl.handle.net/2072/537063
dc.description.abstract
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.
eng
dc.description.sponsorship
The first author was supported by an NSERC Discovery grant. The second and fourth author were supported by the National Science Foundation under Grant No. DMS-1440140 while they were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2019 semester. The second author was also supported by the National Science Foundation under Grants No. DMS-1701651 and DMS-2001369. The third author was supported by an ERC consolidator grant and Icrea Academia. The last-named author was supported by NSF grant DMS-1931087. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 682152)
dc.format.extent
52 p.
cat
dc.publisher
University of Michigan
cat
dc.relation.ispartof
Michigan Mathematical Journal
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Hecke algebra, Dihedral weight, Stark units,Theta correspondence
cat
dc.title
THE DERIVED HECKE ALGEBRA FOR DIHEDRAL WEIGHT ONE FORMS
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/updatedVersion
cat
dc.identifier.doi
10.1307/mmj/20217221
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
