The Iwasawa main conjecture over the extended eigencurve

Abstract: In this talk, I will discuss a formulation of the Iwasawa main conjecture in families over the extended eigencurve, which is an extension of the Coleman-Mazur eigencurve into characteristic $p$. This involves constructing a family of $p$-adic $L$-functions, a family of Galois representations, and showing the characteristic ideal sheaves work in families. I’ll give an overview and then give as much detail of the construction as time permits.

number theory

Audience: researchers in the topic

UCLA Number Theory Seminar