AbstractBeilinson--Bloch--Kato conjecture and Iwasawa main conjecture can be viewed as generalizations and p-adic analogues of the celebrated BSD conjecture for elliptic curves. These conjectures predict deep relations between the L-function (or its p-adic analogue) of a motive with some arithmetic invariants. In this talk, I will first start with some review on more classical results and basic...
Abstract:We introduce a relation between the generator of the Eisenstein ideal in a Hida family and Iwasawa invariants for modular forms and ideal class groups. We introduce our result forcusing on two types of examples