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| This is a Sage workshop prior to the conference [[http://www.birs.ca/events/2016/5-day-workshops/16w5010|Flat Surfaces and Dynamics of Moduli Space]] to be held in Oaxaca May 08-13. The aim is to: | [[http://sagemath.org|Sage]] is an open source software for mathematics. This is the webpage for the Sage workshop prior to the conference [[http://www.birs.ca/events/2016/5-day-workshops/16w5010|Flat Surfaces and Dynamics of Moduli Space]] to be held in Oaxaca May 08-13. The aim is to: |
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| * make a list of challenging computational questions * implement new algorithms |
* help people to implement their own projects |
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== Previsional schedule == ||<5%> ||<15% #FFFFAA:> Wednesday 4 May ||<15% #FFFFAA:> Thursday 5 May ||<15% #FFFFAA:> Friday 6 May ||<15% #FFFFAA:> Saturday 7 May || ||<#FFFFAA> morning ||<#AFEFEF:> Participant presentation<<BR>>and<<BR>>Sage introduction || ? || ? || ? || ||<#FFFFAA> 13:00 - 14:30 || lunch break || lunch break || lunch break || lunch break || ||<#FFFFAA> afternoon || ? || ? || ? || ? || == Talks == * (tutorial / presentation) Pat Hooper: [[https://github.com/videlec/sage-flatsurf|Flatsurf]] * (tutorial / presentation) Vincent Delecroix: [[http://www.labri.fr/perso/vdelecro/flatsurf.html|the flatsurf package]] (warning: distinct from the above!) * (tutorial) numerical computations with numpy and scipy within Sage ([[https://www.scipy.org/]]) * (tutorial) development howtos: [[https://en.wikipedia.org/wiki/Git_%28software%29|git]], the [[http://trac.sagemath.org/|Sage trac server]], mailing lists ([[https://groups.google.com/forum/#!forum/sage-devel|sage-devel]], [[https://groups.google.com/forum/#!forum/sage-support|sage-support]], [[http://pari.math.u-bordeaux.fr/lists-index.html|pari-users]], etc) and forums ([[http://ask.sagemath.org/|ask sagemath]]). * ? (tutorial) number types in Sage: integers, rationals, number fields, symbolic, floating point, intervals, balls * ? (tutorial) SL2Z and triangle group code in Sage * ? (tutorial) graphs and digraphs in Sage ([[http://doc.sagemath.org/html/en/reference/graphs/index.html|Sage graph stuff]] and possibly [[http://www.tcs.hut.fi/Software/bliss/|bliss software]], [[http://pallini.di.uniroma1.it/|nauty and Traces]], [[http://igraph.org/redirect.html|igraph]], ...) == Projects == * Computing Teichmueller maps between translation surfaces (Maxime) * merge the two flatsurf projects [[https://github.com/videlec/sage-flatsurf]] and [[http://www.labri.fr/perso/vdelecro/flatsurf.html]] (Pat, Vincent) * visualize the translation structure induced by a differential (Anja) * Subgroups of SL(2,R) given from generators. Design an algorithm that given a finite set of matrices in SL(2,R) answers whether the group generated by these is 1. not discrete 2. has finite covolume 3. has infinite covolume In case 2. and 3. the algorithm should also output a fundamental domain and generators in canonical forms. (Charles, Vincent) * Generating saddle connections in a given surface and study their statistics (Grace) * Affine interval exchange transformations: rotation number for affine circle homeos, generalized Rauzy induction (Charles) * Teichmueller flow for genus 1 quadratic differentials (Charles) * ... ''add your own project'' ... == Existing programs about translation surfaces == * Alex Eskin code (saddle connection exploration + decomposition in cylinders) * various [[http://math.rice.edu/~rm51/|programs by Ronen Mukamel]] (Delaunay triangulations, Teichmueller curves especially in genus 2) * Vincent Delecroix [[http://www.labri.fr/perso/vdelecro/flatsurf.html|flatsurf package]] (mostly interval exchanges and square tiled surfaces, but a bit of topology) * Vincent Delecroix and Pat Hooper [[https://github.com/videlec/sage-flatsurf|drawing program]] * Charles Fougeron code for Lyapunov exponents of strata coverings (see [[http://trac.sagemath.org/ticket/16102|trac ticket #16102]]) * Chris Swierczewski [[https://github.com/abelfunctions/abelfunctions|Riemann surfaces package]] * [[http://www.math.udel.edu/~driscoll/SC/|Schwarz-Christoffel Toolbox in Matlab]] |
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== Preliminary list of participants (to be confirmed) == * [[http://www.labri.fr/perso/vdelecro/|Vincent Delecroix]] * [[https://www.math.toronto.edu/cms/fortier-bourque-maxime/|Maxime Fortier-Bourque]] * [[https://webusers.imj-prg.fr/~charles.fougeron/|Charles Fougeron]] * [[http://wphooper.com/|Pat Hooper]] * [[http://www.math.u-psud.fr/~lelievre/|Samuel Lelièvre]] * [[http://monteil.perso.math.cnrs.fr/|Thierry Monteil]] (might attend remotely) * --([[https://sites.google.com/site/yulanqing/|Yulan Qing]])-- * [[http://www.math.toronto.edu/~rafi/|Kasra Rafi]] * [[http://www.math.kit.edu/iag3/~randecker/|Anja Randecker]] * [[http://www.cswiercz.info/|Chris Swierczewski]] (might attend remotely) * [[http://www.matmor.unam.mx/~ferran/|Ferrán Valdez]] * [[http://www.math.uiuc.edu/~work2/|Grace Work]] == Support == This workshop is supported by the ERC H2020 project [[http://opendreamkit.org/|OpenDreamKit]] and [[http://www.pmc.gob.mx/|Punto Mexico Conectado @ Oaxaca]]. |
Sage Days 73 in Oaxaca, Mexico May 04-07 2016
Sage is an open source software for mathematics. This is the webpage for the Sage workshop prior to the conference Flat Surfaces and Dynamics of Moduli Space to be held in Oaxaca May 08-13. The aim is to:
- introduce Sage to people from Oaxaca or assisting to the conference
- have program and code presentations about geometry and dynamics of surfaces
- help people to implement their own projects
It is intended to be a small workshop (10 to 15 people) focusing on coding sprints.
Previsional schedule
|
Wednesday 4 May |
Thursday 5 May |
Friday 6 May |
Saturday 7 May |
morning |
Participant presentation |
? |
? |
? |
13:00 - 14:30 |
lunch break |
lunch break |
lunch break |
lunch break |
afternoon |
? |
? |
? |
? |
Talks
(tutorial / presentation) Pat Hooper: Flatsurf
(tutorial / presentation) Vincent Delecroix: the flatsurf package (warning: distinct from the above!)
(tutorial) numerical computations with numpy and scipy within Sage (https://www.scipy.org/)
(tutorial) development howtos: git, the Sage trac server, mailing lists (sage-devel, sage-support, pari-users, etc) and forums (ask sagemath).
- ? (tutorial) number types in Sage: integers, rationals, number fields, symbolic, floating point, intervals, balls
- ? (tutorial) SL2Z and triangle group code in Sage
? (tutorial) graphs and digraphs in Sage (Sage graph stuff and possibly bliss software, nauty and Traces, igraph, ...)
Projects
- Computing Teichmueller maps between translation surfaces (Maxime)
merge the two flatsurf projects https://github.com/videlec/sage-flatsurf and http://www.labri.fr/perso/vdelecro/flatsurf.html (Pat, Vincent)
- visualize the translation structure induced by a differential (Anja)
- Subgroups of SL(2,R) given from generators. Design an algorithm that given a finite set of matrices in SL(2,R) answers whether the group generated by these is
- not discrete
- has finite covolume
- has infinite covolume
- Generating saddle connections in a given surface and study their statistics (Grace)
- Affine interval exchange transformations: rotation number for affine circle homeos, generalized Rauzy induction (Charles)
- Teichmueller flow for genus 1 quadratic differentials (Charles)
... add your own project ...
Existing programs about translation surfaces
- Alex Eskin code (saddle connection exploration + decomposition in cylinders)
various programs by Ronen Mukamel (Delaunay triangulations, Teichmueller curves especially in genus 2)
Vincent Delecroix flatsurf package (mostly interval exchanges and square tiled surfaces, but a bit of topology)
Vincent Delecroix and Pat Hooper drawing program
Charles Fougeron code for Lyapunov exponents of strata coverings (see trac ticket #16102)
Chris Swierczewski Riemann surfaces package
Organizers
Preliminary list of participants (to be confirmed)
Thierry Monteil (might attend remotely)
Chris Swierczewski (might attend remotely)
Support
This workshop is supported by the ERC H2020 project OpenDreamKit and Punto Mexico Conectado @ Oaxaca.