July 21-27, 2013Rational Points 2013Workshop at Schloss Thurnau |
| Sunday, July 21 | Arrival | ||
| 18:30-21:00 | Dinner | ||
| Monday, July 22 | 08:00-09:00 | Breakfast | |
| 09:00-09:15 | Michael Stoll | Opening and Welcome | |
| 09:30-10:30 | Manjul Bhargava | Most hyperelliptic curves over Q have no rational points | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Bjorn Poonen | Most odd degree hyperelliptic curves have only one rational point | |
| 12:30-13:30 | Lunch | ||
| 15:00-16:00 | Coffee | ||
| 16:00-17:00 | Michael Stoll | Uniform bounds for the number of rational points on hyperelliptic curves with small Mordell-Weil rank | |
| 17:30-18:00 | Brendan Creutz | 2-torsion in the Brauer group of a hyperelliptic curve | |
| 18:30-19:30 | Dinner | ||
| Tuesday, July 23 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Wei Ho | Genus one curves and Hermitian cubes | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Peter Swinnerton-Dyer | Diagonal hypersurfaces and the Bloch-Kato conjecture | |
| 12:30-13:30 | Lunch | ||
| 15:00-16:00 | Coffee | ||
| 16:00-16:45 | Jennifer Park | Chabauty's method for symmetric powers of curves | |
| 17:00-17:30 | René Pannekoek | On p-adic density of rational points on K3 surfaces Slides |
|
| 17:45-18:15 | Rachel Newton | Computing the local part of the Cassels-Tate pairing | |
| 18:30-19:30 | Dinner | ||
| 20:00-20:15 | Jean-Louis Colliot-Thélène | Brauer-Manin reicht nicht aus | |
| Wednesday, July 24 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Tom Fisher | Jacobians of arbitrary genus 1 curves | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Tim Dokchitser | On the existence of evil Jacobians | |
| 12:30-13:30 | Lunch | ||
| Free Afternoon (no dinner at the castle) | |||
| Thursday, July 25 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Ulrich Derenthal | Cox rings and the Manin conjecture | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | Bianca Viray | Transcendental Brauer elements | |
| 12:30-13:30 | Lunch | ||
| 15:00-16:00 | Coffee | ||
| 16:00-16:30 | Kęstutis Česnavičius | Explicit rank predictions for X0(11) over various number fields arXiv paper |
|
| 16:45-17:15 | David Holmes | Heights in families of abelian varieties | |
| 17:30-18:00 | Cyril Demarche | Hasse principle and weak approximation for multinorm tori | |
| 18:30-19:30 | Dinner | ||
| 20:00 | Presentation of new functionality in Magma Sample Code |
||
| Friday, July 26 | 08:00-09:00 | Breakfast | |
| 09:30-10:30 | Samir Siksek | Modularity and Fermat equation over totally real fields | |
| 10:30-11:15 | Coffee | ||
| 11:15-12:15 | David Harari | Strong approximation in a family, I Preprint |
|
| 12:30-13:30 | Lunch | ||
| 15:00-16:00 | Coffee | ||
| 16:00-16:45 | Jean-Louis Colliot-Thélène | Strong approximation in a family, II — What no gentleman would speak of in public | |
| 17:00-18:00 | Jennifer Balakrishnan and Steffen Müller | p-adic heights and integral points on hyperelliptic curves | |
| 18:30-19:30 | Dinner | ||
| Saturday, July 27 | 08:30-09:30 | Breakfast | |
| Departure |
Michael Stoll (Universität Bayreuth)