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

Variation of Heegner points in Hida families


Ben Howard

University of Chicago

Abstract

We will describe the construction of an Euler system of big Heegner points in the cohomology of the big Galois representation attached to a Hida family of modular forms, and discuss results and conjectures on the nontriviality of these points.