Michael Stoll
Michael Dettweiler
Mathematisches Institut
Universität Bayreuth
95440 Bayreuth, Germany
| Friday, 12:15-14:00 | in S80 | |||
| 18. 4. 2014 | Karfreitag (public holiday), no seminar | |||
| 25. 4. 2014 | no seminar (Prof. Stoll away, job talk Engineering Math) | |||
| 2. 5. 2014 | Andreas Kühn: | Heights on genus two Jacobians defined over function fields | ||
| 9. 5. 2014 | Bartosz Naskręcki (Poznań): | Mordell-Weil ranks of elliptic curves in families parametrized by binary quadratic forms | ||
| 16. 5. 2014 | Timo Richarz (Bonn): | The geometric Satake isomorphism | ||
| 23. 5. 2014 | Ed Schaefer (Santa Clara): | Stick figures (Computing regular models of curves) | ||
| 6. 6. 2014 | Stefan Reiter: | Bireflection groups | ||
| 20. 6. 2014 | Samir Siksek (Warwick): | Elliptic Curves over Real Quadratic Fields are Modular | ||
| Abstract: | We combine recent breakthroughs in modularity lifting with a 3-5-7 modularity switching argument to deduce modularity of elliptic curves over real quadratic fields. We discuss the implications for the Fermat equation. In particular we prove an asymptotic version of Fermat's Last Theorem over Q(d1/2) for a subset of squarefree positive d having density 5/6. This is based on joint work with Nuno Freitas (Bayreuth) and Bao Le Hung (Harvard). |