**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.