Speaker: Dimitar Jetchev (EPFL)

Date: December 1, 2016

Title: The p-part of the Birch and Swinnerton-Dyer Conjecture for

Elliptic Curves of Analytic Rank One

Abstract: I will explain the recent proof of the p-part of the Birch

and Swinnerton-Dyer Conjectural formula for elliptic curves over Q of

analytic rank one. The proof is based on choosing a suitable

parametrization of the elliptic curve with a Shimura curve, using

Kolyvagin's Euler system method to get the upper bounds and an

anticyclotomic Iwasawa main conjecture as well as a control theorem to

get the lower bounds. This is joint work with Chris Skinner and Xin Wan.​