CONFERENCE

French Computer Algebra days
January 16 – 20, 2017

Computer Algebra refers to the study and design of algorithms for manipulating mathematical expressions and objects. It lies at the interface between mathematics, computer science and various application fields.
It covers a wide range of subjects, such as effective linear algebra, algorithmic number theory, integration and summation in closed form, differential and polynomial system solving, or special functions.

The French computer algebra community is internationally renowned for the
excellence of its theoretical work. Several libraries produced by its members are part of mainstream software packages such as Maple.

This success is notably due to the Journées nationales de calcul formel (JNCF), which are a remarkable opportunity for researchers to discuss recent and ongoing work with their peers. In 2017, we plan to extend these days for the first time to Mediterranean countries.

The main goals of the JNCF are to foster collaborations between researchers, and to provide guidance and training to young researchers.

Expected outcomes include:
A better integration of young researchers. The JNCF are an ideal opportunity
for young researchers to present their results for the first time and also to get an overview of the various advances in Computer Algebra. This is especially important in the computer algebra community, where researchers need to build skills in both computer science and mathematics.

New collaborations and interactions. The JNCF have traditionally been an opportunity to create successful collaborations between researchers from different parts of France. We now would like the JNCF to open to an international community, while remaining primarily French-speaking. The previous two editions already included courses by colleagues from other European countries, and we intend to continue this trend. Additionally, we plan to better advertise the next JNCF in Mediterranean countries.

To support these goals, the days are articulated around courses by internationally recognized researchers, and shorter talks given mostly by PhD students and young researchers.

 Scientific Committee

Magali Bardet (Université de Rouen)
Paola Boito (Université de Limoges)
Delphine Boucher (Université de Rennes I)
François Boulier (Université de Lille)
Laurent Busé (INRIA Sophia Antipolis)
Frédéric Chyzak (NRIA Saclay)
Jean-Guillaume Dumas (Université Grenoble Alpes)
Jean-Charles Faugère (INRIA Rocquencourt)
Joris Van der Hoeven (CNRS, École polytechnique)
Claude-Pierre Jeannerod (INRIA, ENS Lyon)
Emmanuel Thomé (INRIA Nancy-Loria)
Jean-Claude Yakoubsohn (Université Toulouse III)

Organizing Committee

Nicolas Brisebarre (ENS Lyon)
Carole El Bacha (
Université Libanaise, Fanar)
Pascal Giorgi (Université de Montpellier)
Marc Mezzarobba (Université Pierre et Marie Curie)
Guillaume Moroz (INRIA Nancy Grand Est)


Courses

Symbolic dynamical systems and representations (notes)  (slides)

Computer Algebra for Lattice Path Combinatorics   (part. 1)   (part. 2)   (part. 3)

Condition. The Geometry of Numerical Algorithms (part. 1)   (part. 2)   (vidéos)

Calcul sur ordinateur avec les nombres p-adiques   (slides)   (notes)

Talks 


Razvan Barbulescu (Université 
Paris Diderot)      Une mise en revue des couplages   (slides)
Yacine Bouzidi (INRIA Lille-Nord Europe)   An effective approach for the stabilization of a class of multidimensional systems   (slides)
Florent Bréhard (ENS Lyon)    Approximations de Tchebychev rigoureuses de solutions d’équations différentielles linéaires en temps linéaire   (slides)
Svyatoslav Covanov (Université de Lorraine)   Exhaustive search of optimal formulae for bilinear maps   (slides)
Luca De Feo (Université de Versailles St Quentin)    OpenDreamKit – The EU is actually paying to develop open source CAS’s!   (slides)
Claire Delaplace (Université de Lille)    Calcul du rang de grandes matrices creuses modulo p  par des méthodes d’élimination   (slides)
Thomas Dreyfus (Université Lyon 1)   On the nature of the generating series of random walks in the quarter plane   (slides)
Philippe Dumas (INRIA – Saclay)    Solutions rationnelles d’équations de Mahler linéaires   (slides)
Nicolas Gachadoit (Maplesoft) Extension des capacités de Maple grâce à l’interfaçage avec des bibliothèques de calcul en C/C++, Fortran ou Java / Atelier Maple (slides)
Robin Larrieu (Ecole polytechnique)    Généralisation de la transformée de Fourier tronquée pour des ordres quelconques   (slides)
Alexandre Le Meur (Université Rennes 1)   Formules de Thomae généralisées aux courbes résolubles sur P1
Victor Magron (Verimag-Grenoble)    Nichtnegativstellensätze for Univariate Polynomials   (slides)
Simone Naldi (
TU Dortmund)   Computer algebra for hyperbolic programming   (slides)
François Ollivier (Ecole polytechnique)   Dérivation de solutions d’équations différentielles par rapport aux paramètres. Une implantation en Maple
Jean-Baptiste Orfila ( Université de Grenoble 1)    Private Multi-party Matrix Multiplication and Trust Computation   (slides)
Jordy Palafox (
Université de Pau)   Problème du centre isochrone et correction de champs de vecteurs   (slides)
Valentina Popescu (ENS Lyon)   Tight and rigourous error bounds for basic building blocks of double-word arithmetic
Joelle Saade (Université de Limoges)    On the Formal Reduction of Linear Singular Differential Systems   (slides)
Sébastien Tavenas (ENS Lyon)    Intersections réelles entre une courbe de petit degré et une hypersurface creuse   (slides)