Motivic action conjecture for Doi-Naganuma lifts

2025/06/02 by Horawa, Aleksander, Li, Yingkun
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2506.01699

Abstract

We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.

Citations

• Hilbert Eisenstein series as Doi-Naganuma lift
• P-adic Asai L-functions for quadratic Hilbert eigenforms
• Motivic action for Siegel modular forms
• Deformations of Theta Integrals and A Conjecture of Gross-Zagier
• Derived Hecke algebra for weight one forms
• Periods of quaternionic Shimura varieties. I
• Automorphic cohomology, motivic cohomology, and the adjoint L-function
• Langlands' Functoriality and the Weil Representation

Related

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• Motivic Intersection Complex of Certain Shimura varieties
• On weight truncations in the motivic setting
• The motivic Adams conjecture
• Motivic counting of rational curves with tangency conditions via universal torsors