Euler systems and the p-adic Langlands correspondence

Abstract: About 2 years ago, I have given a new construction of the Euler system of cyclotomic units via Eisenstein congruences in which the p-adic Langlands correspondence for $\GL_2(\Q_p)$ plays a central role. In this talk, I want to explain how one can extend this method to obtain a large class of new Euler systems attached to ordinary automorphic forms. This is a work in progress.

number theory

Audience: researchers in the topic

Harvard number theory seminar