CLaN Research Group | CLaN
Seminar | WSU Colloquium | Department Home

Washington State University

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

WEBS 11

March 4, Monday, 4:10 - 5:00 PM

Jennifer Johnson-Leung

Department of Mathematics

University of Idaho

Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar

Department of Mathematics and Statistics

WEBS 11

March 4, Monday, 4:10 - 5:00 PM

Jennifer Johnson-Leung

Department of Mathematics

University of Idaho

Title: Fourier Coefficients and Hecke Eigenvalues of Siegel Paramodular Forms

Abstract: The Fourier coefficients of elliptical modular eigenforms are the Hecke eigenvalues of those forms. For Siegel modular forms, the situation is more complicated. Work of Andrianov from the 1970s gives some relations between these invariants for Siegel modular forms of level 1. I will discuss joint work with Brooks Roberts which gives new relations between Fourier coefficients of Siegel modular forms with paramodular level.

Abstract: The Fourier coefficients of elliptical modular eigenforms are the Hecke eigenvalues of those forms. For Siegel modular forms, the situation is more complicated. Work of Andrianov from the 1970s gives some relations between these invariants for Siegel modular forms of level 1. I will discuss joint work with Brooks Roberts which gives new relations between Fourier coefficients of Siegel modular forms with paramodular level.