July 21-28, 2007
Rational Points on Curves and Higher-Dimensional Varieties:
Theory and Explicit Methods
Workshop at Jacobs University Bremen*
July 21-28, 2007Rational Points on Curves and Higher-Dimensional Varieties:
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| Saturday, July 21 | Arrival | ||
| 18:00-19:00 | Dinner | ||
| Sunday, July 22 | 08:15-09:00 | Breakfast | |
| 09:00-09:15 | Michael Stoll | Opening and Welcome | |
| 09:30-10:30 | Tom Fisher | 8-Descent on Elliptic Curves | |
| 11:15-12:15 | Samir Siksek | Integral Points on Hyperelliptic Curves | |
| 12:15-13:00 | Lunch | ||
| 14:45-15:30 | Coffee, Tea, and Cake | ||
| 15:30-16:00 | Michael Stoll | Organizational Meeting | |
| Denis Simon | Afternoon Session (Elliptic Curves) | ||
| 16:00-16:45 | Mark Watkins | Quadratic Twists of Rank 3 | |
| 17:00-17:30 | Tom Fisher | How To Trivialize a Central Simple Algebra | |
| 17:40-18:00 | Michael Stoll | Computation of the Cassels-Tate Paring on 2-Selmer Groups of Elliptic Curves (after S. Donnelly) | |
| 18:00-19:00 | Dinner | ||
| Monday, July 23 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Bjorn Poonen | Explicit Descent on Genus 3 Jacobians, I | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Nils Bruin | Explicit Descent on Genus 3 Jacobians, II | |
| 12:15-13:00 | Lunch | ||
| 14:45-15:30 | Coffee, Tea, and Cake | ||
| Victor Flynn | Afternoon Session (Higher Genus Curves) | ||
| 15:30-16:10 | Stephen Meagher | Twists of Jacobians of Curves of Genus 3 | |
| 16:10-16:30 | Belgacem Draouil | Curves Over a 2-Local Field | |
| 16:45-17:15 | Anna Arnth-Jensen | Sha for Richelot Isogenies | |
| 17:15-17:45 | Kamal Khuri-Makdisi | Fast Jacobian Arithmetic on C34 Curves | |
| 17:45-18:00 | Informal Problems | ||
| 18:00-19:00 | Dinner | ||
| Tuesday, July 24 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Damiano Testa | Arithmetic of del Pezzo Surfaces | |
| 10:30-11:00 | Coffee | ||
| 11:00-12:00 | Jean-Louis Colliot-Thélène | Representations of Integral Quadratic Forms by Integral Quadratic Forms, I | |
| 12:00-13:00 | Lunch | ||
| 14:45-15:30 | Coffee, Tea, and Cake | ||
| Florian Hess | Afternoon Session | ||
| 15:30-16:30 | Jean-Louis Colliot-Thélène | Representations of Integral Quadratic Forms by Integral Quadratic Forms, II | |
| 16:45-17:15 | Victor Flynn | Cycles of Covers | |
| 17:30-18:00 | Abhinav Kumar | K3 Surfaces Corresponding To Genus 2 Curves | |
| 18:00-19:00 | Dinner | ||
| Wednesday, July 25 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Ronald van Luijk | Arithmetic of K3 Surfaces | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Olivier Wittenberg | Albanese Torsors and the Elementary Obstruction | |
| 12:15-13:00 | Lunch | ||
| Free Afternoon | |||
| Thursday, July 26 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Noam Elkies | RM Abelian Surfaces Over Q | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | David Harari | Non-Abelian Descent on Enriques Surfaces | |
| 12:15-13:00 | Lunch | ||
| 14:45-15:30 | Coffee, Tea, and Cake | ||
| Jean-Louis Colliot-Thélène | Afternoon Session (Higher-Dimensional Varieties) | ||
| 15:30-16:15 | Remke Kloosterman | Elliptic Curves Over Q(t, s) | |
| 16:25-17:10 | Tony Varilly | Del Pezzo Surfaces of Degree 1 | |
| 17:30-18:00 | Ulrich Derenthal | Singular del Pezzo Surfaces and Root Systems | |
| 18:00-19:00 | Dinner | ||
| Friday, July 27 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Andrew Kresch | Effective Computation of Brauer-Manin Obstructions | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Yuri Tschinkel | Rational Points on Surfaces | |
| 12:15-13:00 | Lunch | ||
| 14:45-15:30 | Coffee, Tea, and Cake | ||
| Michael Stoll | Wrap-up Session | ||
| 15:30-15:40 | Workshop Feedback | ||
| 15:45-15:55 | Anna Posingies | Calculation of Scattering Matrices | |
| 16:00-16:10 | Jan Steffen Müller | Canonical Heights on Hyperelliptic Jacobians | |
| 16:15-16:25 | Thomas Ludsteck | p-adic Integration | |
| 16:45-17:15 | Ronald van Luijk | Computing the Picard Rank of a K3 Surface | |
| 17:30-18:00 | Problem Session | ||
| 18:00-19:00 | Dinner | ||
| Saturday, July 28 | 08:30-09:30 | Breakfast | |
| Departure |
Michael Stoll (Jacobs University Bremen*)
Jacobs University Bremen*; Deutsche Forschungsgemeinschaft; Number Theory Foundation