The derived Hecke algebra for dihedral weight one forms
Number Theory
2022-07-05 v1
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 fourth- named 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.
Cite
@article{arxiv.2207.01304,
title = {The derived Hecke algebra for dihedral weight one forms},
author = {Henri Darmon and Michael Harris and Victor Rotger and Akshay Venkatesh},
journal= {arXiv preprint arXiv:2207.01304},
year = {2022}
}