Descartes' rule is one of the first main result of algebraic geometry. Formulated in 1637 in the appendix entitled "La Géométrie" of the famous "Discours de la Méthode" [S], this rule gives an upper bound of the number of positive roots of a polynomial of one real-valued variable. The formulation of a similar rule for multi-variate polynomials has gone through new developements with the works of Frédéric Bihan and his collaborators who propose in [BD] a new upper bound for the number of roots with positive coordinates.
The Interreg Sudoe Programme supports regional development in Southwest Europe financing transnational projects through the European Regional Development Fund (ERDF).
The Programme promotes transnational cooperation to solve common problems in Southwest Europe, such as low investment in research and development, weak competitiveness of the small and medium-sized enterprises and exposure to climate change and environmental risks.
The French Embassy and the FACE Foundation are launching the Thomas Jefferson Fund to support new, innovative collaborations between promising young researchers in France and the United States in the fields of Science, Technology, Engineering and Mathematics (STEM), Humanities and Social Sciences (SSH) and Sciences for Society (interdisciplinary STEM-SSH projects). The Thomas Jefferson Fund will fund up to nine original, two-year collaborative projects, addressing the most pressing global challenges.
Béatrice de Tilière is a Professor at Paris-Est Créteil University and a member of the Laboratoire d’Analyse et de Mathématiques Appliquées (CNRS, Paris-Est Créteil University, Paris-Est Marne-la-Vallée Universi
In algebraic geometry, intersection theory aims at describing how algebraic manifolds intersect one another in an ambient space. Recent progress about self-intersections have been made by studying how an algebric manifold intersects its infenitesimal perturbations. These results open the way to a better understanding of derivate self-intersections.
For a more complete description of this result (in french), click here.
Thirteen portraits offering an unusual insight into mathematics... The Centre International de Rencontres Mathématiques (Cirm) in Marseille Luminy (France) will host the exhibition "Women of Mathematics throughout Europe, a gallery of portraits" as of March 6th, 2017 for International Women Day.
"Quantum Engineering Grenoble" (QuEnG) is a three-year interdisciplinary PhD program funded by the Idex-UGA. It aims to foster high-level research at the interface between physics, mathematics, computer sciences, social sciences, humanities, or with industrial coaching.
10 PhD scholarships will be attributed on the following topics:
The Jean-Morlet Chair gives international researchers in the field of mathematical sciences the opportunity to establish an ambitious programme of events while in residence for six months at the Centre International de Rencontres Mathématiques (CIRM) in Marseille, France.