(Anti)cyclotomic main conjectures for elliptic curves at Eisenstein primes.

Abstract: I will discuss work in progress with F. Castella and C. Skinner on the anticyclotomic and cyclotomic Iwasawa main conjectures at Eisenstein primes $p$, generalising our earlier paper with J. Lee and the results of Greenberg and Vatsal. As a consequence, we obtain new results on the p-part of the Birch-Swinnerton-Dyer conjecture.

algebraic geometrynumber theory

Audience: researchers in the topic

Number Theory Seminars at Università degli Studi di Padova