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Organizing Committee
University of Quebec
UC Davis
Universite de Paris XI (Paris-Sud)
Abstract
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.
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.
Image courtesy of Hivert, Schilling, and Thiéry. Picture of the J-preorder of the biHecke monoid of the symmetric group S_3. This combinatorial data, strongly tied to Bruhat order, governs the representation theory of this monoid.
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Workshop Schedule
Monday, February 11, 2013
8:30 - 8:55 AM EST
Registration
8:55 - 9:00 AM EST
Welcome - ICERM Director
Location: 11th Floor Lecture Hall
10:00 - 10:30 AM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
10:30 - 11:15 AM EST
Tutorial I: Sage notebook and navigating the help system - Franco Saliola, University of Quebec
Location: 11th Floor Lecture Hall
12:30 - 2:30 PM EST
Break for Lunch & Free Time
3:30 - 4:00 PM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
4:00 - 4:45 PM EST
Discussion of programming projects - Anne Schilling, University of California, Davis
Location: 11th Floor Lecture Hall
5:00 - 6:00 PM EST
Welcome Reception
Location: 11th Floor Collaborative Space
Tuesday, February 12, 2013
Lecture Videos
Allen Knutson
Cornell University
February 11, 2013 • 12:00 AM
Elizabeth Beazley
Haverford College
February 13, 2013 • 12:00 AM
Andrew Mathas
University of Sydney
February 12, 2013 • 12:00 AM
Daniel Bump
Stanford University
February 12, 2013 • 12:00 AM
