Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, January 19, 2016 - 16:00 to 17:00
Location: 
Gilkey 115

Speaker Info

Institution: 
Reed College
Abstract: 

We compute Hecke eigenform bases of spaces of degree 3 Siegel modular forms and Euler factors of the eigenforms, through weight 22. Our method uses the Fourier coefficients of Siegel Eisenstein series, which are fully known and computationally tractable, and Garrett’s decomposition of the pullback of the Eisenstein series through the Witt map. Our results support Miyawaki’s conjectural lift and Katsurada’s theory of congruence neighbors. Some familiarity with classical modular forms will be helpful.