On Mazur's main conjecture at Eisenstein primes

Abstract: Let $E$ be a rational elliptic curve, and $p$ an odd prime of good ordinary reduction for $E.$ In 1972, Mazur formulated an analogue of Iwasawa’s main conjecture for the $p$-primary Selmer group of $E$ over the cyclotomic $\mathbb Z_p$-extension of $\mathbb Q$. In this talk I’ll report on recent progress towards Mazur’s main conjecture (joint with Giada Grossi and Chris Skinner, building on an earlier joint work also with Jaehoon Lee) in the case where $E$ admits a rational $p$-isogeny.

number theory

Audience: researchers in the topic

Columbia CUNY NYU number theory seminar