Claude Sabbah

Claude Sabbah (born October 30, 1954 ) is a French mathematician who specializes in micro-local analysis and algebraic analysis.

Claude Sabbah, Oberwolfach 2007

Sabbah received his doctorate in 1976 from the University of Paris VII with Lê Dũng Tráng . In 1987 he completed his habilitation at the University of Paris VII (Doctorat d'Etat). He conducts research for the CNRS (Directeur de Recherche) and teaches at the École polytechnique (Center de Mathématiques Laurent Schwartz).

He introduced Twistor-D modules, an extension of the theory of the Hodge D modules by Morihiko Saitō , whose theory was further developed by Takurō Mochizuki and used to prove the Kashiwara conjecture. Sabbah and independently Jean-Paul Brasselet (1983) constructed Chern classes for the bivariate theory of William Fulton and Robert MacPherson , a category theoretical construction they introduced in 1981 for the study of singularities in algebraic geometry. Their existence was suspected by Fulton and MacPherson after they had previously introduced Stiefel-Whitney classes in bivariate theory.

Sabbah was Vice President of Société Mathématique de France , responsible for publications.

In 2013 he initiated the revitalization of the Journal de l'École Polytechnique, which existed from 1795 to 1939, as an electronic, freely accessible journal.

Fonts

• Isomonodromic Deformations and Frobenius Manifolds, Universitext, Springer Verlag 2007
• Introduction to Stokes Structures, Lecture Notes in Mathematics 2060, Springer Verlag 2013, Arxiv (Lectures Lisbon)
• Equations différentielles à points singuliers irréguliers et phénomène de Stokes en dimension 2, Astérisque 263, 2000
• Polarizable Twistor D-Modules, Astérisque 300, 2005, Arxiv
• Wild Twistor D-Modules, in Algebraic analysis and around , Advanced Studies Pure Mathematics 54, Math. Soc. Japan, 2009, 293-353
• Théorie de Hodge et correspondance de Hitchin-Kobayashi sauvages, d'après T. Mochizuki, Séminaire Bourbaki 1050, 2011/12, Arxiv
• Non commutative Hodge structures, Annales Inst. Fourier, Grenoble, Volume 61, 2011, pp. 2681-2717, Arxiv
• Introduction to algebraic theory of linear systems of differential equations, in: Elements de la théorie des systèmes différentiels , Les cours du CIMPA, Travaux en cours vol. 45, Hermann, Paris, 1993
• Frobenius manifolds: isomonodromic deformations and infinitesimal period mappings, Expositiones Mathematicae, Volume 16, 1998, pp. 1-58
• with Philippe Maisonobe: D-modules cohérents et holonomes, Les cours du CIMPA, Hermann 1993
• Editor with Nicole Berline: Distributions dans le sillage de Laurent Schwartz, Ed. Ecole Polytechnique, 2003, in it from Sabbah: Aspects algébriques de la division des distributions, 67–100
• Quelques remarques sur la geometrie des espaces conormaux, in Galligo, Maisonobe, Grangier, Systèmes différentiels et singularités, Astérisque, 130, 1985, 161–192
• with JP Henry, M. Merle Sur la condition de Thom stricte pour un morphisme analytique complexe , Annales scientifiques de l'École Normale Supérieure, Sér. 4, Vol. 17, 1984, pp. 227-268
• Proximité évanescente. I. La structure polaire d'un D-module, Compositio Mathematica, 62, 1987, 283-328, Numdam

Web links

• Homepage

Individual evidence

1. ↑ Claude Sabbah in the Mathematics Genealogy Project (English)
2. ^ In his habilitation (Thèse) Espaces conormaux bivariants 1986
3. ↑ Gazette des Mathematiciens, No. 86, 2000, pdf
4. ↑ Sabbah Le Journal de l'Ecole polytechnique, une renaissance, Gazette des mathematiciens , No. 138, 2013, pdf
5. ↑ Official website of the project