Euler systems and the p-adic Langlands correspondence

SEMINARS, NUMBER THEORY

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April 13, 2022 3:00 pm - 4:00 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA
Speaker:

Eric Urban - Columbia


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.