The Harris-Venkatesh conjecture for derived Hecke operators I: imaginary dihedral forms

R Zhang - arXiv preprint arXiv:2301.00570, 2023 - arxiv.org
The Harris-Venkatesh conjecture posits a relationship between the action of derived Hecke
operators on weight-one modular forms and Stark units. We prove the full Harris-Venkatesh …

[图书][B] The Harris-Venkatesh Conjecture for Derived Hecke Operators

R Zhang - 2023 - search.proquest.com
Abstract The Harris-Venkatesh conjecture posits a relationship between the action of
derived Hecke operators on weight-one modular forms and Stark units. We prove the full …

Motivic action for Siegel modular forms

A Horawa, K Prasanna - arXiv preprint arXiv:2307.04115, 2023 - arxiv.org
We study the coherent cohomology of automorphic sheaves corresponding to Siegel
modular forms $ f $ of low weight on ${\rm GSp}(4) $ Shimura varieties. Inspired by the work …