Open questions and recent developments in Iwasawa theory

Open questions and recent developments in Iwasawa theory
in honor of Ralph Greenberg's 60th birthday
June 2005

Greenberg's L-invariant and p-adic analytic families of modular forms


Haruzo Hida

UCLA

Abstract

We will discuss known results and open problems on Greenberg's L-invariants of standard L-functions and adjoint square L-functions of elliptic and Hilbert modular Hecke eigenforms in terms of p-adic analytic families of ordinary Hecke eigenforms