Construction of p-adic L-functions for unitary groups
Abstract
This is a report on joint work (still in progress) with Ellen Eischen, Jian-Shu Li,
and Chris Skinner. I will describe the general structure of our construction of p-adic L-functions
attached to families of ordinary holomorphic modular forms on Shimura varieties attached to
unitary groups. The complex L-function is studied by means of the doubling method;
its p-adic interpolation applies adelic representation theory to Ellen Eischen's Eisenstein
measure.