ICERM Workshop: Sage Days: Multiple Dirichlet Series, Combinatorics, and Representation Theory
Sage is a mathematics software system developed by and for the mathematics community, whose mission is to create a viable free open source alternative to Magma, Maple, Mathematica and Matlab. Its wide span of features, in particular in number theory, combinatorics, and representation theory, together with its friendly community based development, fosters collaborations across disciplines, from the design and implementation of new computer exploration tools to research.
This workshop will bring together experienced Sage and Sage-Combinat developers and experts of multiple Dirichlet series and computational algebraic combinatorics. Like every workshop in the Sage Days series, it will welcome whoever wants to discover Sage, learn more about it, or contribute to it.
As the first meeting for the ICERM Semester Program on "Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series", this workshop will focus on Sage training and on the design and planning of new computational features of central interest for the semester, around Weyl groups, Hecke algebras and their representations, crystals, posets, combinatorial data visualization, etc.
The workshop will consist of mathematical presentations, presentations on Sage and coding sprints. The mathematical presentations will include talks introducing the relevant mathematics for the entire audience and more advanced talks for interested participants. The Sage presentations will begin with introductory tutorials and progress to more advanced topics, including software development in Sage. There will be ample time allotted for design discussions and coding sprints to implement the developed algorithms.