Artin L-values, Artin twists of modular L-values, and Mazur’s Eisenstein ideal

Seminar series

Junior Number Theory Seminar

Date

Mon, 04 May 2026
16:00

Location

Speaker

Hahn Lheem

Organisation

IMJ-PRG

Fix an Artin representation rho. Work in progress by Emmanuel Lecouturier and Loïc Merel claims that the special values L(f,rho,1) for certain modular forms f see some global data related to the L-function attached to rho. We first give a brief exposition on Mazur’s Eisenstein ideal, which lies at the heart of their work. We then describe this conjectural phenomenon in a few simple cases, the last being related to a conjecture of Harris and Venkatesh.