Pierre Dolbeault

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Pierre Dolbeault (born October 10, 1924 in France , † June 12, 2015 ) was a French mathematician.

Dolbeault around 1975

Life

Dolbeault attended the Collège Lavoisier and Lycée Henri IV in Paris, studied from 1944 at the École normal supérieure (but could only study there from 1945 due to the circumstances of the occupation), received a degree (agrégation) in mathematics and then researched from 1947 to 1953 for the CNRS , where he was at Princeton University in 1949/50 , where he had particular contacts to Marston Morse , Kunihiko Kodaira and Douglas Spencer there and at the neighboring Institute for Advanced Study and got to know their application of topological methods in analysis and algebraic geometry. He received his doctorate in 1955 from Henri Cartan at the Sorbonne ( Formes différentielles et cohomologie sur une variété analytique complexe ) and attended his famous seminar at the École Normale. Dolbeault taught at the universities of Montpellier from 1953 , 1954 to 1960 in Bordeaux , then twelve years as professor at the University of Poitiers and from 1972 at the Institut de Mathématiques Jussieu at the University of Paris VI (Pierre et Marie Curie). With Pierre Lelong and Henri Skoda he had an analysis seminar in Paris at the Institut Henri Poincaré for a long time.

He dealt with function theory , for example residual theory in several dimensions, and is known for introducing some of the topological methods named after him in complex analysis. The Dolbeault operator and the Dolbeault cohomology and the associated theorem from Dolbeault are named after him. The Dolbeault cohomology, as an analogue of the De Rham cohomology, plays a fundamental role in the geometry of complex manifolds and was introduced by Dolbeault in 1953. Most recently, he dealt with geometric questions in the theory of complex functions such as the complex plateau problem and quaternionic functions.

He was married to the mathematician Simone Lemoine. She received her doctorate in 1956 and was a professor in Poitiers.

Fonts

  • Analysis complexes. Masson, Paris 1990
  • Varietes et Espaces Analytiques Complexes. In: Jean-Paul Pier (editor): Development of Mathematics 1950–2000. Birkhäuser 2000
  • with E. Chirka, G. Khenkin, A. Vitushkin: Introduction to complex analysis. Springer (Encyclopedia of Mathematics) 1997 (therein from Dolbeault General theory of multidimensional residues )
  • Sur la cohomologie des variétés analytiques complexes , Compte Rendu Acad. Sci. Paris, 236, 1953, pp. 175-177
  • Formes différentielles et cohomologie , Annals of Mathematics, Volume 64, 1956, pp. 83-130, Part 2, Ann. of Math., Vol. 65, 1957, pp. 282-330
  • Theory of residues and homology, Ist. Naz. di alta Mat., Symp. Math., 3, 1970, pp. 295-304
  • Résidues et courants, in: Questions on algebraic varieties, CIME Seminar Bucharest 1969, pp. 39–56
  • Valeurs principales sur une espace analytiques, Conv. di Geometria, Milan 1971, Acad. Naz. Lincei, 1973, pp. 139-149
  • Theory of residues in several variables. In: Global analysis and its applications 1972, Volume 2, IAEA Vienna 1974, pp. 74-96

literature

  • Henri Skoda, Jean-Marie Tréprault (Editor): Contributions to complex analysis and analytic geometry: dedicated to Pierre Dolbeault. Vieweg 1994 (with a short biography in the introduction)

Web links

Individual evidence

  1. ↑ Pierre Dolbeault in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ The dissertation was published in the Annals of Mathematics in 1956/57
  3. ↑ Dolbeault, Sur la cohomologie des variétés analytiques complexes ., CR Acad. Sci. Paris, Volume 236, 1953, pp. 175-177
  4. ^ Yvette Kosmann-Schwarzbach: Women mathematicians in France in the mid-twentieth century (Arxiv 2015)
personal data
SURNAME Dolbeault, Pierre
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH October 10, 1924
PLACE OF BIRTH France
DATE OF DEATH June 12, 2015