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| == Sage For Newbies == PEOPLE: Erik, A. Deines, S. Sourov, P. Clark |
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| == Tutorial / documentation == | == Maps, e.g. abelian groups to set of ideals for class groups == PEOPLE: S. Pauli |
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| == Maps, e.g. abelian groups to set of ideals for class groups == | == Neighbor Method == PEOPLE: G. Nebe, J. Hanke, Scharlau == Trac #4120 -- Binary Quadratic Forms == PEOPLE: J. Walker, Farbod == Octonions and Cubes == PEOPLE: J. Hanke, M. Weissman, Jim S. |
Sage Days 13 Coding Spring Projects
Contents
For the main SD 13 wiki page go here
Below a list of proposed projects
Sage For Newbies
- PEOPLE: Erik, A. Deines, S. Sourov, P. Clark
Reimplement Basic Quaternion Algebra Arithmetic
- PEOPLE: W. Stein, J. Bober, J. Voight
ZAK code integration
PEOPLE: M. Abshoff
To quote the Introduction of the ZAK software survey by Rainer Schulze-Pillot (linked below as PDF):
In the 1990s Rudolf Scharlau and I had a joint project concerned with computations for and with integral quadratic (and later also hermitian) forms over Z and also over the rings of integers of (mainly quadratic) number fields. The project originated in Rudolf Scharlau’s group of Diplom and doctoral students, where it also got its name ZAK, I don’t really now why (from the German word Zahlk¨orper (number field) perhaps?). It turned later into a project funded by Deutsche Forschungsgemeinschaft; in this time Alexander Schiemann worked for the project, coordinated the programming work and wrote several C++ programs. The programs developed in the project were the basis of the articles [19, 20, 18, 22, 5] and were used for Schiemann’s computation of tables of integral hermitian forms [23]. After Schiemann left academia we continued to use the programs for a while on our HP-UX workstations. When these went out of service it turned out to be difficult to adapt the programs to other environments; I will describe some of the problems later. All experiments I did now are under Linux (Suse 11.0) using gcc 4.3. The present new interest in such computations, in particular in the SAGE project, raises the question whether it is worthwhile (and possible) to revive these programs.
Two PDFs:
Schulze-Pillot's 1991 article on the neighbour method: issac3b.pdf (hard to find in libraries)
Schulze-Pillot's survey of ZAK related code: schulzepillot_qfcomputing_zak.pdf
Maps, e.g. abelian groups to set of ideals for class groups
- PEOPLE: S. Pauli
Neighbor Method
- PEOPLE: G. Nebe, J. Hanke, Scharlau
Trac #4120 -- Binary Quadratic Forms
- PEOPLE: J. Walker, Farbod
Octonions and Cubes
- PEOPLE: J. Hanke, M. Weissman, Jim S.