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

Talks

• (tutorial) number types in Sage: integers, rationals, number fields, symbolic, floating point, intervals, balls
• (tutorial) SL2Z and triangle group code in Sage

• (tutorial) flatsurf package

Projects

• infinite index subgroups of SL2Z
• arbitrary subgroups of SL2R, SL2C
• construct SL2Z subgroups (SL2R?, SL2C?) from a set of generators
• Lyapunov exponents, volume, Siegel Veech constants
• Delaunay triangulations

• ... 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

• Vincent Delecroix

• Ferrán Valdez

Preliminary list of participants (to be confirmed)

• Vincent Delecroix

• Maxime Fortier-Bourque

• Charles Fougeron

• Pat Hooper

• Samuel Lelièvre

• Thierry Monteil (might attend remotely)

• Yulan Qing

• Kasra Rafi

• Anja Randecker

• Chris Swierczewski (might attend remotely)

• Ferrán Valdez

• Grace Work

Support

This workshop is supported by the ERC H2020 project OpenDreamKit.