Global Divisibility of Heegner points and Tamagawa Numbers

ANALYTIC AND GEOMETRIC NUMBER THEORY SEMINAR
Topic:Global Divisibility of Heegner points and Tamagawa Numbers
Speaker:Dimitar Jetchev
Affiliation:New York
Date:Thursday, October 29
Time/Room:2:00pm - 3:00pm/S-101

We improve Kolyvagin's upper bound on the order of the p-primary part of the Shafarevich-Tate group of an elliptic curve of rank one over a quadratic imaginary field. In many cases, our bound is precisely the one predicted by the Birch and Swinnerton-Dyer conjectural formula.