Sage Days: Arithmetics over discrete valuation rings (e.g. p-adics)
September 2–September 6, 2013, Université Rennes 1, France
The aim of this workshop is to contribute to the development of p-adics rings in Sage - and more generally discrete valuation rings (DVR). It includes basic arithmetics, linear algebra and analysis (e.g. analytic functions) over these rings.
Registration
Registration is free. There is limited funding for travel and lodging.
Please contact Xavier Caruso at xavier.caruso (at) normalesup.org to register. Please indicate if you will be requesting funding.
Projects
The specific problems addressed at this workshop will be decided upon the interests of the participants. The following general topics are proposed:
- Implement basic functions for matrices over DVR (e.g. Hermite and Smith decomposition)
- Implement extensions of p-adics (currently only unramified and totally ramified extensions are available)
- Write classes for series over DVR
- Design a general framework for precision
- Review several tickets related to p-adics
Schedule
Monday |
||
10:00-10:30 |
|
Welcome and orientation |
10:30-12:00 |
|
Sage for begginers / coding sprint |
13:30-14:30 |
Xavier Caruso |
The state of p-adics in Sage |
14:30-15:00 |
|
overview of projects |
15:00-16:00 |
Julian Rüth |
About the new git workflow |
16:00- |
|
coding sprint |
Tuesday |
||
08:00-11:00 |
|
coding sprint |
11:00-12:00 |
Luca De Feo |
Implementation of finite fields |
13:30-14:30 |
Julian Rüth |
Extensions of p-adic fields |
14:45-15:45 |
Tristan Vaccon |
p-adic Gröbner basis |
16:00-16:30 |
|
status reports of projects |
16:30- |
|
coding sprint |
Location
Université Rennes 1, France. See location on Google Maps.
All talks and coding sessions will take place in the math building (so-called math tower), numbered 22 on [[http://handicap.univ-rennes1.fr/digitalAssets/81/81399_plan-Campus.jpg|this map].
Participants (first tentative)
- Jérémy Berthomieu
- Jean-François Biasse
- Céline Breilly
- Xavier Caruso
- Gilles Christol
- Luca De Feo
- Jean-Pierre Flori
- Muhammad Imran
- Kiran Kedlaya (September 6 only)
- Cécile Gonçalves
- Jérémy Le Borgne
- Alexandre Le Meur
- David Lubicz
- Andrea Pulita
- David Roe
- Julian Rüth
- Jeroen Sijsling
- Olivier Taïbi*
- Arnaud Tisserand
- Jan Tuitman
- Tristan Vaccon
- Nathalie Wach
- Paul Zimmermann (by correspondance)
*: To be confirmed
Organizers
- Xavier Caruso, Université Rennes 1, France
- David Lubicz, Université Rennes 1, France
Last Updated
July 8, 2013