Michel Demazure

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Michel Marie René Demazure (born March 2, 1937 in Neuilly-sur-Seine ) is a French mathematician who deals with algebra and algebraic geometry .

Michel Demazure, at IHES 2007

After working in a computer company in the summer of 1955, Demazure studied from 1955 at the École normal supérieure . 1959/60 he was at Princeton University . In the 1960s he was a student of Alexandre Grothendieck , with whom he received his doctorate on Schémas en groupes reductifs at the University of Paris in 1965 . With Grothendieck he published the SGA-3 volumes of the seminar on algebraic geometry ( S éminaire de G éométrie A lgébrique) between 1962 and 1964 . From 1964 to 1966 Demazure was a professor at the University of Strasbourg , from 1966 at the University of Paris-South in Orsay and from 1976 to 1999 at the École polytechnique . He was a member of Nicolas Bourbaki from around the mid-1960s to the mid-1980s .

Guy Rousseau is one of his PhD students .

He dealt with algebraic groups and representation theory of Lie algebras (where he introduced Demazure modules and proved a character formula analogous to Weyl's character formula for these ). In SGA III he introduced root data (donnée radicielle), a generalization of the root systems from the theory of Lie groups and Lie algebras to reductive algebraic groups . One of his publications ( Sous-groupes alg'ebriques de rang maximum du groupe de Cremona ) is now considered to be the beginning of the theory of toric varieties . Later he turned to problems of image reconstruction using methods of algebraic geometry.

In 1988 he was President of the Société Mathématique de France. From 1991 to 1998 Demazure was managing director of the Palais de la Découverte and from 1998 to 2002 director of the Cité des sciences et de l'industrie , the science museum in La Villette . He headed the Advisory Board for Research in the Languedoc-Roussillon Region ( Comité Arago ) and has lived in Touraine since 2004 .

Fonts

  • with Pierre Gabriel : Introduction to algebraic geometry and algebraic groups. North Holland 1980 (first in French Groupes algébriques I- Geometry algebrique, generalites, groupes commutatifs. Masson, North Holland 1970, the English edition is the translation of the first two chapters, with the appendix by Michiel Hazewinkel).
  • Lectures on divisible groups. Springer 1972.
  • Bifurcations and Catastrophes - Geometry of Solutions to Nonlinear Problems. Springer 1999, ISBN 3540521186 .
  • Cours d'Algèbre. Paris, Cassini 1997, 2008.
  • Sous-groupes alg'ebriques de rang maximum du groupe de Cremona , Annales scientifiques de l'École Normale Supérieure, Volume 3, 1970, pp. 507-588

Web links

Individual evidence

  1. ↑ Dates of birth according to Who's Who in France
  2. ↑ He presents his memories of Grothendieck in Notices of the AMS, Volume 63, March 2016, pp. 250f
  3. ↑ Biographical information in Demazure Cours d'algebre
  4. ↑ Maurice Mashaal Bourbaki , American Mathematical Society in 2006
  5. ↑ In Demazure's proof of 1974 a mistake was found by Victor Kac and later work clarified the validity of the character formula with work by HH Anderson (1985), Anthony Joseph (1985) and Masaki Kashiwara (1993).
  6. ↑ David A. Cox, John B. Little, Henry K. Schenck: Toric varieties. American Mathematical Society, Providence 2011, ISBN 978-0-8218-4819-7 .
personal data
SURNAME Demazure, Michel
ALTERNATIVE NAMES Demazure, Michel Marie René
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH March 2, 1937
PLACE OF BIRTH Neuilly-sur-Seine