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Claude Sabbah | |
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 Claude Sabbah in 2007 | |
| Born | October 30, 1954 |
| Nationality | French |
| Scientific career | |
| Fields | Mathematics |
| Doctoral advisor | Lê Dũng Tráng |
Claude Sabbah (born 30 October 1954) is a French mathematician and researcher at École Polytechnique.
Sabbah received his doctoral degree from Paris Diderot University in 1976 under the supervision of Lê Dũng Tráng. [1]
Laurent-Moïse Schwartz was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the École polytechnique.
Georges-Henri Halphen was a French mathematician. He was known for his work in geometry, particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on invariant theory and projective differential geometry.
André Lichnerowicz was a noted French differential geometer and mathematical physicist of Polish descent. He is considered the founder of modern Poisson geometry.
The Séminaire Nicolas Bourbaki is a series of seminars that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a barometer of mathematical achievement, fashion, and reputation. It is named after Nicolas Bourbaki, a group of French and other mathematicians of variable membership.
Henri Claudius Rosarius Dulac was a French mathematician.
Thierry Aubin was a French mathematician who worked at the Centre de Mathématiques de Jussieu, and was a leading expert on Riemannian geometry and non-linear partial differential equations. His fundamental contributions to the theory of the Yamabe equation led, in conjunction with results of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifold can be conformally rescaled to produce a manifold of constant scalar curvature. Along with Yau, he also showed that Kähler manifolds with negative first Chern classes always admit Kähler–Einstein metrics, a result closely related to the Calabi conjecture. The latter result, established by Yau, provides the largest class of known examples of compact Einstein manifolds. Aubin was the first mathematician to propose the Cartan–Hadamard conjecture.
The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic structure; they may behave like groups, for instance. In that case, they are called Lie Groups. Alternatively, they may be described by polynomial equations, in which case they are called algebraic varieties, and if they additionally carry a group structure, they are called algebraic groups.
In mathematics, the term Riemann–Hilbert correspondence refers to the correspondence between regular singular flat connections on algebraic vector bundles and representations of the fundamental group, and more generally to one of several generalizations of this. The original setting appearing in Hilbert's twenty-first problem was for the Riemann sphere, where it was about the existence of systems of linear regular differential equations with prescribed monodromy representations. First the Riemann sphere may be replaced by an arbitrary Riemann surface and then, in higher dimensions, Riemann surfaces are replaced by complex manifolds of dimension > 1. There is a correspondence between certain systems of partial differential equations and possible monodromies of their solutions.
André Haefliger is a Swiss mathematician who works primarily on topology.
Michèle Audin is a French mathematician, writer, and a former professor. She has worked as a professor at the University of Geneva, the University of Paris-Saclay and most recently at l'Institut de recherche mathématique avancée (IRMA) in University of Strasbourg, where she performed research notably in the area of symplectic geometry.
Edmond Bonan is a French mathematician, known particularly for his work on special holonomy.
Frédéric Pham is a Vietnamese-French mathematician and mathematical physicist. He is known for the Brieskorn-Pham manifolds.
Xiaonan Ma is a Chinese mathematician working in global analysis and local index theory.
Adolphe Buhl was a French mathematician and astronomer.
Paul Flamant (1892–1940) was a French mathematician, known as the transcriber and editor of Gaston Julia's lectures published in the important monograph Leçons sur les Fonctions Uniformes à Point Singulier Essentiel Isolé (1924). According to Joseph Ritt, "Julia's monograph is probably one of the finest in the Borel collection."
François Lalonde is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.
Sébastien Boucksom is a French mathematician.
The Centre de mathématiques Laurent-Schwartz (CMLS) is a joint research unit of France's Centre national de la recherche scientifique (CNRS) and the École Polytechnique. It is located on the site of École Polytechnique in Palaiseau.
Nicolas Bergeron is a French mathematician born on 19 December 1975, who works in Pierre and Marie Curie University in Paris. He is the managing editor of the journal Publications Mathématiques de l'IHÉS.
Eleonora Di Nezza is an Italian mathematician, a CNRS researcher at the at the Centre de mathématiques Laurent-Schwartz and a professor of mathematics at Ecole Polytechnique, in Palaiseau, France. Her research is at the intersection of various branches of mathematics including complex and differential geometry, and focuses on Kahler geometry.
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