July 10-16, 2005
Rational Points on Curves -
Explicit Methods
Workshop at International University Bremen
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July 10-16, 2005Rational Points on Curves -
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| Monday, July 11 | 09:30-10:30 | Michael Stoll | Opening and Introduction |
| 11:15-12:15 | William Stein | Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves | |
| 14:30-15:00 | Organizational Meeting (Michael Stoll) | ||
| 15:00-16:15 | Michael Stoll | Finding Points | |
| 16:30-17:30 | Denis Simon | Rational Points on Conics and Generalisations | |
| Tuesday, July 12 | 09:30-10:30 | Tom Fisher | Explicit Descent on Elliptic Curves, I |
| 11:15-12:15 | Cathy O'Neil | Explicit Descent on Elliptic Curves, II | |
| 14:30-15:00 | Cathy O'Neil | Sampling Spaces | |
| 15:15-16:00 | Ed Schaefer | The Cassels-Tate Pairing | |
| 16:15-17:15 | Mark Watkins | Two and Four Descents | |
| 17:30-18:00 | Tom Fisher | Minimization | |
| Wednesday, July 13 | 09:30-10:30 | Ed Schaefer | Computing Selmer Groups of Jacobians |
| 11:15-12:15 | Nils Bruin | 2-coverings of Hyperelliptic Curves | |
| 14:30-15:15 | Victor Rotger | Abelian Surfaces of GL2-type and Points on Shimura Curves | |
| 15:30-16:15 | Skorobogatov | Shimura Curves and the Hasse Principle | |
| 16:45-17:15 | Kamal Khuri-Makdisi | Implementing Addition on J(k) | |
| 17:30-18:00 | Nils Bruin | Small Genus 2 Curves | |
| Thursday, July 14 | 09:30-10:30 | J.-L. Colliot-Thélène | Brauer-Manin Obstruction and the Fibration Method |
| 11:15-12:15 | Alexei Skorobogatov | Torsors, Descent and the Brauer Group | |
| 14:30-15:30 | Olivier Wittenberg | Hasse Principle for Del Pezzo Surfaces of Degree 4 | |
| 15:45-16:15 | Adam Logan | Computing Azumaya Algebras that Represent the Brauer Group of Del Pezzo Surfaces of Degree 4 | |
| 16:30-17:00 | Martin Bright | Efficient Computation of the Brauer-Manin Obstruction | |
| 17:15-18:15 | Peter Swinnerton-Dyer | A New Result on the Manin Conjecture on Points of Bounded Height | |
| Friday, July 15 | 09:30-10:30 | Fedor Bogomolov | Special Correspondences for Curves Over Small Fields (Q-bar, Fp-bar) |
| 11:15-12:15 | Samir Siksek | Functions, Reciprocity and the Obstruction to Divisors on Curves | |
| 14:30- | Report on the Workshop -- Bull Session |
Michael Stoll (IU Bremen)
International University Bremen, Deutsche Forschungsgemeinschaft