Sage and cluster algebra workshop

The Sage and cluster algebra workshop will be held at the University of Hannover, Germany, February 8-10 2012.

Requirements

• Everyone attending should have a laptop with
  • a Linux or Mac OS System (running one of OS X 10.4, 10.5, or 10.6).
  • For those running Windows on their machines (if you do not understand what these things mean, Julian can explain the implications of these to you):
    • you install Linux on your System
    • or you try to get sage-combinat to work inside a "virtual machine"

    • or use the Sage-Combinat server at http://sage.lacim.uqam.ca. As this server is not completely reliable, this will not be the preferred way.

• It would also be appreciated if everyone tries to install Sage and the optional Sage-Combinat package before the course starts. For instructions see http://wiki.sagemath.org/combinat/Installation. We will meet on Tuesday afternoon at 15:00 in the Leibniz Lab (IAZD's coffee room) to get sage installed on all the machines in some way.

• Basic (or even a little more advanced) programming skills are not required but will be very helpful.

Further reading

• The Sage documentation http://sagemath.org/help.html#SageStandardDoc.

• Many thematic tutorials on Sage can be found at http://combinat.sagemath.org/doc/thematic_tutorials/index.html.

• The compendium for the cluster algebra and quiver package http://arxiv.org/abs/1102.4844.

• For further references to background on cluster algebras and quivers see the references in the compendium.

• Interesting lectures can be found at http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm550.

A tentative schedule

All sessions will be in the IAZD Seminar Room (a410).

Wednesday Feb 8

On Wednesday, we will mainly go through several thematic tutorials that can be found at http://combinat.sagemath.org/doc/thematic_tutorials/index.html, plus a presentation on the history and current situation of Sage and Sage-Combinat.

10:15-13:00

• Installing Sage and the optional Combinat package
• Getting used to the Sage Notebook and the Sage command line
• Using the documentation
• How to get help
• Using Sage and Sage-Combinat online

14:15-17:00

• Some programming in Python and in Sage (which is based on Python)
• Using the Computer Algebra System Sage

Thursday Feb 9

10:15-13:00

• First examples of the Cluster package and the interactive mode
• Theoretical background
• Working with finite and affine types
• Connections to root systems and subword complexes

14:15-17:00

• Exploring clusters for cluster algebras
• The classification of finite and mutation-finite cluster algebras
• Playing with the package

Friday Feb 10

10:15-13:00

• More theoretical background like the bipartite belt
• Limits of the package
• Comparison with other packages on cluster algebras
• Finding more limits of the package
• Suggestions for further implementations
• Discussion

14:15-17:00

• open session
  • How to contribute to Sage and the cluster package

Participants

Please add your name to the list if you plan to attend!

• Janine Bastian
• Nathan Broomhead
• Sira Gratz
• Andreas Hochenegger
• David Pauksztello (local organizer)
• David Ploog
• Julian Rüth (might join on Thursday and Friday)
• Christopher Schure

• Christian Stump (instructor, [email protected])

Discussion

space for discussions like interesting topics, open problems, ...

Let me open with something not implemented but we have been asked to do:

• implementation of quantum cluster algebras

Attachments

• Notebook intro.sws

• Basic Combinatorics intro.sws

• Sage-Combinat demo (1).sws

• Cluster Package demo (1).sws

• Cluster complexes and generalized associahedra (1).sws

• The Compendium (1).sws