Date & Time: Tuesday, August 04, 2009, 15:30-16:30.
Venue: Ramanujan Hall
Title: p-adic L-functions for GSp(4)xGL(2)
Speaker: Mahesh Agarwal, McMaster University
Abstract: Let p be an odd prime. In this talk we will construct a p-adic analog of a degree eight L-function L(s,Fxf) where F is an ordinary holomorphic degree two Siegel eigen cusp form of level a power of p and f is an ordinary eigen cusp form of level a power of p. Our method makes use of the work of M. Furusawa which gives an integral representation for this L-function. By suitably interpreting this integral representation in the context of inner products of automorphic forms, we show that it p-adically interpolates the L-values as the forms F and f vary in ordinary families (with the weights varying p-adically). This interpolation is carried out by exploiting a pull-back formula of P. Garrett and G. Shimura.