Sage and cluster algebra workshop

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

If you want to add anything to this page (including your name in the participants list), use the temporary login ClustersDaysHannover and clustershannover2012.

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 (David: where and when?) 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.

• 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

Wednesday Feb 8:

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

Participants

Please let me know if you are attending. I will then add your name to the list

• David Pauksztello (local organizer)
• Christian Stump (organizer)
• Julian Rüth (might join on Thursday and Friday)

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