STNB2019 (33rd edition)

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

Presenters

Óscar Rivero Salgado and Victor Rotger Cerda

Abstract

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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