In this talk, we will discuss the dimension of $J_0(N)[m]$ at an Eisenstein prime m for

square-free level N. We will also study the structure of $J_0(N)[m]$ as a Galois module.

This work generalizes Mazur’s work on Eisenstein ideals of prime level to the case of

arbitrary square-free level up to small exceptional cases.

16 October 2014

16:00

Hwajong Yoo

Abstract