Main Conjectures and Modular Forms

Abstract

This paper reports on joint work with E. Urban that completes a proof of the Main Conjecture of Iwasawa Theory for a broad class of elliptic curves and modular forms. As such, it is concerned mainly with special values of $L$-functions of modular forms and the ways which they get packaged together (such as in $p$-adic $L$-functions).