| 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.