AXIOM Workshop 2007 Symmetric Functions RISC-Linz Hagenberg, Austria 14-16 June 2007 The workshop aims at a cooperation of Axiom developers with developers of packages written for other Computer Algebra Systems, and mathematicians that would like to use a computer algebra system to perform experiments. One goal of the workshop is to learn about the mathematical theory, the design of packages written for other CAS and to make those functionalities available in Axiom.

If you would like to attend the workshop, please send mail to risc2007@axiom-developer.org. There will be no conference fee, but it is expected that participants pay accommodation and meals themselves. There is a limited number of rooms available in Hagenberg for approximately 28 EUR/night including breakfast.

Schedule:

Thursday, June 14:

09:00 - 09:30 Rubey Welcome and Short Presentation of Axiom

09:30 - 10:30 Hemmecke Aldor

10:45 - 11:45 Schlosser An introduction to symmetric functions and plethystic notation

12:00 - 14:00 Lunch

14:00 - 16:00 Descouens / Thiery Symmetric functions and Hopf algebras, Usage and design in MuPAD?-Combinat

16:15 - 18:00 Workshop I: Desirable Functionality

Friday, June 15:

09:30 - 10:30 Fauser Calculations in character Hopf algebras using SCHUR and Maple

10:45 - 11:45 Kohnert Symmetric functions in MAGMA

12:00 - 14:00 Lunch

14:00 - 18:00 Workshop II: Implementation Frameworks

Saturday, June 16:

09:00 - 10:00 Hemmecke / Rubey Combinatorial Species in Aldor

10:15 - 11:15 Fripertinger Combinatorics under finite group actions in SYMMETRICA

11:30 - Workshop III: A first draft

Suggested reading:

• Richard Stanley, Enumerative Combinatorics II, Chapter 7
• Alain Lascoux, Symmetric functions and combinatorial operators on polynomials, CBMS Regional Conference Series in Mathematics 99
• ACE 3 documentation
• Aldor User Guide

Participants

Email: risc2007@axiom-developer.org