Thursday, November 4
Milner 216, 1:00 PM
Title: Half-integral weight modular forms with few non-vanishing coefficients
Abstract: Half-integral weight cusp forms whose reduction modulo a prime l has few non-vanishing coefficients have been studied recently by Bruinier, Ono, and Skinner. In this talk, I will describe some conditions necessary for such forms to exist and discuss applications of this work to central critical values of modular L-functions and orders of Tate-Shafarevich groups.