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.