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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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