Variation of Iwasawa invariants over number fields

Abstract: Iwasawa theory provides an intriguing $p$-adic link between the algebraic world and the analytic world. A key quantity is the lambda-invariant, which counts the number of zeroes of the $p$-adic L-function. We shall carefully explain how this invariant (both the algebraic and analytic version) behaves over a non-abelian extension $K/\mathbb{Q}$, as one moves around a Hida family of modular forms.

number theory

Audience: researchers in the topic

Number Theory Online Conference 2020