##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory Seminar

## Carl Wang-Erickson

#### University of Pittsburgh

## The Eisenstein ideal with squarefree level

##### Abstract:

In his landmark paper ``Modular forms and the Eisenstein ideal,'' Mazur studied congruences modulo a prime p between the Hecke eigenvalues of an Eisenstein series and the Hecke eigenvalues of cusp forms, assuming these modular forms have weight 2 and prime level N. He asked about generalizations to squarefree levels N. I will present some work on such generalizations, which is joint with Preston Wake and Catherine Hsu.

Host: Claus Sorensen

### May 7, 2020

### 2:00 PM

### https://kskedlaya.org/nts.cgi

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