STNB2019 (33è any)

Proof of Venkatesh’s conjecture for dihedral weight one forms.

Resum

We will sketch the proof of Venkatesh’s conjecture for dihedral weight one forms, focussing on the case where $g$ is the theta series of a Hilbert class character of an imaginary quadratic field $K$. The main tools are Mazur’s classical results on the Eisenstein ideal and Merel-Lecouturier’s theory of higher Eisenstein elements.

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