## Speaker:

Catherine Hsu

## Speaker Link:

## Institution:

University of Bristol

## Time:

Thursday, May 2, 2019 - 3:00pm

## Location:

RH 306

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally principal. In this talk, we re-examine Eisenstein congruences, incorporating a notion of "depth of congruence," in order to understand the local structure of Eisenstein ideals associated to weight 2 cusp forms of squarefree level.