|ANALYTIC AND GEOMETRIC NUMBER THEORY SEMINAR|
|Topic:||Global Divisibility of Heegner points and Tamagawa Numbers|
|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.