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August 2022 The Derived Hecke Algebra for Dihedral Weight One Forms
Henri Darmon, Michael Harris, Victor Rotger, Akshay Venkatesh
Michigan Math. J. 72: 145-207 (August 2022). DOI: 10.1307/mmj/20217221

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 the ideas of Merel and Lecouturier on higher Eisenstein elements.

Dedication

To Gopal Prasad on his 75th birthday

Citation

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Henri Darmon. Michael Harris. Victor Rotger. Akshay Venkatesh. "The Derived Hecke Algebra for Dihedral Weight One Forms." Michigan Math. J. 72 145 - 207, August 2022. https://doi.org/10.1307/mmj/20217221

Information

Received: 18 October 2021; Revised: 1 April 2022; Published: August 2022
First available in Project Euclid: 2 August 2022

Digital Object Identifier: 10.1307/mmj/20217221

Subjects:
Primary: 11G18 , 14G35

Rights: Copyright © 2022 The University of Michigan

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Vol.72 • August 2022
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