Conference
Workshop on Algorithms in Number Theory and Arithmetic Geometry
- Date
- 31 July 2017 - 4 August 2017
- Address
- Snellius Building
Niels Bohrweg 1
2333 CA Leiden - Room
- Lorentz Center (second floor of the Snellius building)
Description
The theme of the workshop will be explicit and computational methods in number theory and arithmetic geometry in a broad sense. The format will include scientific talks as well as time for informal collaboration and for coding projects related to (for example) PARI/GP, SageMath or the L-Functions and Modular Forms Database.
Participants
- Martin Bright (Universiteit Leiden)
- Nils Bruin (Simon Fraser University)
- Peter Bruin (Universiteit Leiden)
- Henri Cohen (Université de Bordeaux)
- Vincent Delecroix (LABRI, Bordeaux)
- Lassina Dembélé (Max-Planck-Institut für Mathematik, Bonn)
- Maarten Derickx (Universität Bayreuth)
- Bas Edixhoven (Universiteit Leiden)
- Dino Festi (Johannes-Gutenberg-Universität Mainz)
- Tom Fisher (University of Cambridge)
- Jean-Pierre Flori (ANSSI, Paris)
- Stevan Gajovic (Universität Oldenburg)
- Richard Griffon (Universiteit Leiden)
- Florian Heß (Universität Oldenburg)
- David Holmes (Universiteit Leiden)
- Jinbi Jin (MPIM, Bonn)
- Matthias Junge (Universität Oldenburg)
- Kamal Khuri-Makdisi (American University of Beirut)
- Pınar Kılıçer (Universität Oldenburg)
- Michiel Kosters (University of California, Irvine)
- Joey van Langen (VU Amsterdam)
- Chloe Martindale (Technische Universiteit Eindhoven)
- Marc Masdeu (Universitat Autònoma de Barcelona)
- Marco Melles (Universität Oldenburg)
- Hartmut Monien (Universität Bonn)
- Jan Steffen Müller (Universität Oldenburg)
- Filip Najman (University of Zagreb)
- Bartosz Naskręcki (University of Bristol/Adam Mickiewicz University)
- Christian Neurohr (Universität Oldenburg)
- Aurel Page (University of Warwick)
- Pavel Solomatin (Universiteit Leiden/Université de Bordeaux)
- Anna Somoza (Universitat Politècnica de Catalunya/Universiteit Leiden)
- Marco Streng (Universiteit Leiden)
- Jeroen Sijsling (Universität Ulm)
- Amadou Tall* (Université Cheikh-Anta-Diop, Dakar)
- Jan Tuitman (KU Leuven)
- Christian Wuthrich (University of Nottingham)
* to be confirmed
Programme
This is a provisional programme.
| Monday 31 July | ||
| 9:20 | Welcome and introduction | |
| 9:30–10:30 | Jan Steffen Müller | Canonical heights on Jacobians of curves of genus two |
| 11:00–12:00 | Vincent Delecroix | Volumes, intersection and combinatorics in $\overline{\mathcal{M}_{g,n}}$ |
| 13:00–16:00 | Discussion/coding | |
| 16:00–17:00 | Tom Fisher | Some algebras associated to genus one curves |
| Tuesday 1 August | ||
| 9:30–10:30 | Jeroen Sijsling | Computing endomorphisms of Jacobians |
| 11:00–12:00 | Jean-Pierre Flori | Computing embeddings of finite fields |
| 13:00–16:00 | Discussion/coding | |
| 16:00–17:00 | Nils Bruin | A tool for numerically computing period matrices of algebraic Riemann surfaces |
| Wednesday 2 August | ||
| 9:30–10:30 | Lassina Dembélé | On the compatibility between base change and Hecke action |
| 11:00–12:00 | Henri Cohen | Classical Modular Forms in Pari/GP |
| 12:10–13:30 | Maarten Derickx | A-gonalities of curves and the existence of infinitely many points of degree d |
| Free afternoon | ||
| Thursday 3 August | ||
| 9:30–10:30 | Kamal Khuri-Makdisi | Jacobian group operations for typical divisors on curves |
| 11:00–12:00 | Pavel Solomatin | On Artin L-functions and Gassmann Equivalence for Global Function Fields |
| 13:00–16:00 | Discussion/coding | |
| 16:00–17:00 | Bartosz Naskręcki | Hypergeometric motives of low degrees |
| Friday 4 August | ||
| 9:30–10:30 | Jan Tuitman | Computing zeta functions of smooth projective hypersurfaces |
| 11:00–12:00 | Filip Najman | Hyperelliptic modular curves X0(n) and isogenies of elliptic curves over quadratic fields |
| 12:10–13:10 | Christian Wuthrich | Numerical modular symbols |
| 14:00– | Discussion/coding |
Abstracts of the talks (PDF)
Workshop dinner: TBA
Registration
Unfortunately, it is no longer possible to register for this workshop.
For more information, please send an e-mail to Peter Bruin <P.J.Bruin@math.leidenuniv.nl>.
Accommodation
Participants whose accommodation is booked by us will stay at the Hilton Garden Inn, Oegstgeest (very close to the institute).
Here is a non-exhaustive list of further hotel suggestions.
Close to the institute:
- Holiday Inn
- Van der Valk Hotel Leiden
In the city centre:
- De Doelen
- Nieuw Minerva
Close to the train station:
- Golden Tulip
- Ibis
Organisation
Organiser: Peter Bruin.
Financially supported by NWO (Netherlands Organisation for Scientific Research).