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:

The workshop started on wednesday 04 morning and ended on saturday 07. It took place at Punto Mexico Conectado @ Oaxaca in calzada Madero numero 101.

Schedule

Wednesday 4 May

Thursday 5 May

Friday 6 May

Saturday 7 May

09:00 - 10:00

registro y instalación

coding sprint

coding sprint

?

10:00 - 11:00

presentación de Sage

coding sprint

coding sprint

?

11:00 - 11:30

té y café

coffe break

coffe break

coffe break

11:30 - 13:00

actividades practicas

coding sprint

sharing code howto

status report

13:00 - 14:30

lunch break

lunch break

lunch break

lunch break

14:30 - 15:30

presentation / discussion

coding sprint

coding sprint

FREE

15:30 - 17:00

tutorial: symbolic vs numeric

coding sprint

coding sprint

FREE

17:00 - 17:30

coffe break

coffe break

coffe break

FREE

17:30 - 18:00

Pat Hooper's demo

Vincent's demo

Charles's demo

FREE

18:00 - 19:00

coding spring

status report

coding sprint

FREE

Talks

Projects

Teichmûller polynomials

people: Ferrán

The algorithm that given the (decorated) train-track algorithm produces the Teichmueller polynomial is ready!! Remains to produce automatically these graphs.

teichpol0-small.png teichpol1-small.png

flatsurf Package(s)

people: Charles, Pat, Vincent

Build a nice Sage module for all translation surface related stuff. The aim is to

visualize Teichmueller spaces

people: Maxime, Kasra

A nice animation of a Teichmueller geodesic embedded in R3 (four time punctured sphere):

twist-small.gif P2A-small.gif

Given two complex structures on the pentagon, the first plot represents the graph of (half the logarithm of) the ratio of extremal lengths with respect to these structures, as a function on measured foliations. The next two plots are the derivative and second derivative respectively.

Maxime-graph3.png Maxime-graph4.png Maxime-graph5.png

visualize the translation structure induced by a not so nice differential

people: Anja

flat_picture_of_z-quared-dz.png other_flat_picture_of_z-quared-dz.png

Generating saddle connections in a given surface and study their statistics *efficiently*

people: Grace

Distribution of gap of saddle connection for a surface defined on a cubic field!

sd.png

Computing quadratic differentials on tori

people: Charles

Using Weirstrass function one can find explicit formulas for quadratic differentials on tori

Charles-gen_meromorphic_p0_z0.87_0.72I.png

other projects

Existing programs about translation surfaces

Organizers

Participants

Support

This workshop is supported by the ERC H2020 project OpenDreamKit and Punto Mexico Conectado @ Oaxaca.