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* 11h30 : Tutorial I : *Using the Sage notebook and navigating the help system*  * 11h30 : Tutorial I : *Using the Sage notebook and navigating the help system*, Franco Saliola 
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**Special event**: *Montréal Python Meeting*, 18h30  21h30  **Special event**: *Installation Party*, 18h30 After the buffet, we will continue with informal discussions, coding sprints and we will troubleshoot any problems encountered in the installations during the morning session. 
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* 09h00 : Øyvind Solberg, *A GAP package for working with Quivers and Path Algebras*  * 09h00 : Øyvind Solberg, *Quivers and Path Algebras  QPA* *Abstract*. We will give an introduction representation theory of quivers, defining quivers (directed graphs), representations of quivers and maps between representations of quivers. Further to recall basic constructions involving these objects like direct sum, kernels, special representations, etc. Representations of quivers are central for representation theory of finite dimensional algebras, and we will try to describe some of the basic problems. Next we describe the QPA project by describing the background, aims and goals, current status, design and algorithms, and main future projects. We will end with a short demonstration of the QPA program, hopefully run via an interface developed by students at HiST/NTNU. 
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* 10h30 : Tutorial III: *Basic Python*  * 10h30 : Nicolas M. Thiéry, *A SageCombinat roadmap* *Abstract.* In this talk, we will present the SageCombinat project, whose mission is "to improve Sage as an extensible toolbox for computer exploration in (algebraic) combinatorics, and foster code sharing between researchers in this area". After a brief tour of its history and development model, we will focus on its roadmap, opening a discussion on what mid to long term goals could be, depending on interest and available work forces. 
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**Afternoon Session**, 14h3017h30: exercises and coding sprints with coffee break and status reports  **Afternoon Session**, 14h3017h30: 
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* 14h30 : Tutorial III: *Programming in Python and Sage*, Florent Hivert  
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* 10h30 : Nicolas M. Thiéry, *The SageCombinat roadmap: goals and projects*  * 10h30 : Anne Schilling, *Markov chains for promotion operators* *Abstract.* Schuetzenberger introduced a promotion operator on arbitrary finite posets. Using a slight extension of these operators, one can define a Markov chain on all linear extensions of the poset. This generalizes the Tsetlin library which corresponds to the antichain. With Sage, we can investigate the stationary distributions and eigenvalues of the transition matrix. For rooted forests we find that the resulting monoid is Rtrivial, which leads to a generalization of Brown's theory of Markov chains for left regular bands. * 11h00 : Viviane Pons, *Bases of multivariate polynomials* *Abstract.* We have developed a patch in sage to consider multivariate polynomials as formal sums of vectors. Each vector corresponds to the exponent of a monomial. From simple operations on vectors, we obtain operations on the polynomials. We define the *divided differences* and we explain how they can be used to generate linear bases of the ring of multivariate polynomials. We show that they can be seen as a generalization of the Schur basis of symmetric polynomials. 
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* 11h30 : Tutorial V: *Cython*  * 11h30 : Tutorial V: *Cython*, Florent Hivert 
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* 11h30 : Open Presentations  
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**Lunch Break**: 12h30  14h30  **Lunch Break**: 11h30  13h30 * 13h30 : Doron Zeilberger: n\ :sup:`n2`\ 
Preliminary Schedule for Sage Days 38
Morning sessions will will include talks, tutorials and open presentations.
Afternoon sessions will be dedicated to working on the exercises from the tutorials, coding sprints, followup discussions, etc.
Status reports: There will be a status report every day at 17h00.
Monday
Morning Session:
 08h30 : Coffee & Croissants
 09h00 : Welcome and Introduction to Sage, Sébastien Labbé
 10h00 : Coffee Break
 10h30 : Tour de Table and Installations, Franco Saliola
 11h30 : Tutorial I : Using the Sage notebook and navigating the help system, Franco Saliola
Lunch Break: 12h30  14h30
Afternoon Session, 14h3017h30:
 14h30 : Tutorial II : Calculus and Linear Algebra in Sage
 15h30 : Coffee Break
 16h00 : Coding Sprints
 17h00 : Status Reports
Buffet at CRM: 17h30  18h30
Special event: Installation Party, 18h30
After the buffet, we will continue with informal discussions, coding sprints and we will troubleshoot any problems encountered in the installations during the morning session.
Tuesday
Morning Session:
08h30 : Coffee & Croissants
09h00 : Øyvind Solberg, Quivers and Path Algebras  QPA
Abstract. We will give an introduction representation theory of quivers, defining quivers (directed graphs), representations of quivers and maps between representations of quivers. Further to recall basic constructions involving these objects like direct sum, kernels, special representations, etc. Representations of quivers are central for representation theory of finite dimensional algebras, and we will try to describe some of the basic problems.
Next we describe the QPA project by describing the background, aims and goals, current status, design and algorithms, and main future projects.
We will end with a short demonstration of the QPA program, hopefully run via an interface developed by students at HiST/NTNU.
10h00 : Coffee Break
10h30 : Nicolas M. Thiéry, A SageCombinat roadmap
Abstract. In this talk, we will present the SageCombinat project, whose mission is "to improve Sage as an extensible toolbox for computer exploration in (algebraic) combinatorics, and foster code sharing between researchers in this area". After a brief tour of its history and development model, we will focus on its roadmap, opening a discussion on what mid to long term goals could be, depending on interest and available work forces.
11h30 : Meinolf Geck, High performance computations around KazhdanLusztig cells
Abstract. We present the computer algebra package PyCox, written entirely in Python and compatible with Sage, for computations with finite Coxeter groups and Hecke algebras. It includes some new variations of the traditional algorithms for computing KazhdanLusztig cells (which now work up to type E_7) and distinguished involutions (which even work in type E_8).
Lunch Break: 12h30  14h30
Afternoon Session, 14h3017h30:
 14h30 : Tutorial III: Programming in Python and Sage, Florent Hivert
 15h30 : Coffee Break
 17h00 : Status Reports
Wednesday
Morning Session:
08h30 : Coffee & Croissants
09h00 : Derek Ruths, Introducing Zen: the ZeroEffort Network Library for Python
Abstract. This talk will introduce a new python library for network analysis and algorithmics. As datasets increase in size and algorithms demand increasing amounts of resources, it is critically important for network libraries to be efficient and performant. Few libraries available for Python (or any other platform for that matter) deliver this kind of efficiency: few can load massive network datasets or execute intensive algorithms on them. Of those that can, efficiency comes at a cost to ease of use. We don't believe that this compromise is necessary. Designed from scratch, the Zen library aims to provide the fastest, most memory efficient network routines without compromising good pythonic conventions. To date it's benchmarked network functions match or beat the fastest network libraries available in Python. In this talk, we will give a brief introduction to network analysis, discuss the design elements of Zen that make it both fast and easytouse, briefly overview its functionality, and discuss opportunities for integration and use with Sage.
10h00 : Coffee Break
10h30 : Anne Schilling, Markov chains for promotion operators
Abstract. Schuetzenberger introduced a promotion operator on arbitrary finite posets. Using a slight extension of these operators, one can define a Markov chain on all linear extensions of the poset. This generalizes the Tsetlin library which corresponds to the antichain. With Sage, we can investigate the stationary distributions and eigenvalues of the transition matrix. For rooted forests we find that the resulting monoid is Rtrivial, which leads to a generalization of Brown's theory of Markov chains for left regular bands.
11h00 : Viviane Pons, Bases of multivariate polynomials
Abstract. We have developed a patch in sage to consider multivariate polynomials as formal sums of vectors. Each vector corresponds to the exponent of a monomial. From simple operations on vectors, we obtain operations on the polynomials. We define the divided differences and we explain how they can be used to generate linear bases of the ring of multivariate polynomials. We show that they can be seen as a generalization of the Schur basis of symmetric polynomials.
11h30 : Tutorial IV: Contributing to Sage, Anne Schilling
Lunch Break: 12h30  14h30
Afternoon Session, 14h3017h30: exercises and coding sprints with coffee break and status reports
 15h30 : Coffee Break
 17h00 : Status Reports
Thursday
Morning Session:
 08h30 : Coffee & Croissants
 09h00 : Open Presentations
 10h00 : Coffee Break
 10h30 : Open Presentations
 11h30 : Tutorial V: Cython, Florent Hivert
Lunch Break: 12h30  14h30
Afternoon Session, 14h3017h30: exercises and coding sprints with coffee break and status reports
 15h30 : Coffee Break
 17h00 : Status Reports
Friday
Morning Session:
 08h30 : Coffee & Croissants
 09h00 : Open Presentations
 10h00 : Coffee Break
 10h30 : Open Presentations
Lunch Break: 11h30  13h30
 13h30 : Doron Zeilberger: n^{n2}
Afternoon Session, 14h3017h30: exercises and coding sprints with coffee break and status reports
 15h30 : Coffee Break
 17h00 : Status Reports