SPEAKER: Gonzalo Tornaria <BR><BR><BR>

TITLE:
   Brandt modules, Shimura correspondence,
   and the central values of twisted L-series <BR><BR><BR>

ABSTRACT:
   Let f be an eigenform of weight 2 and prime level. A method of Gross
   constructs, provided L(f,1) does not vanish, a modular form of weight
   3/2 whose Fourier coefficients relate to the central values of
   the L-series of the imaginary quadratic twists of f, giving an
   explicit formula for such central values. <BR><BR>

   We will present joint work with Z. Mao and F. Rodriguez-Villegas
   which generalizes Gross's algorithm and formula to include the case
   L(f,1)=0, and to the case of the real quadratic twists of f.