Introduction

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied.

We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups.

We also look at applications of this theory to modularity lifting problems.

We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).