Pierre Cartier (mathematician)

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Pierre Cartier
File:Pierre Cartier 2009.jpg
Cartier in 2009
Born Pierre Émile Cartier
(1932-06-10)10 June 1932
Sedan, France
Died Script error: The function "death_date_and_age" does not exist.
Marcoussis, France
Fields Mathematics
Institutions University of Strasbourg
Institut des Hautes Études Scientifiques
Education Lycée Saint-Louis
Alma mater École normale supérieure
University of Paris
Doctoral advisor Henri Cartan
André Weil
Doctoral students Guy Henniart
Known for Cartier divisor
Cartier duality
Cartier isomorphism
Cartier operator
Cartier's theorem
Cartier–Foata matrices
Traces
Notable awards Prix Peccot (1960)[1]
ICM Speaker (1970)
Prize Ampère (1978)

Pierre Émile Cartier (10 June 1932 – 17 August 2024) was a French mathematician. An associate of the Bourbaki group and at one time a colleague of Alexander Grothendieck, his interests have ranged over algebraic geometry, representation theory, mathematical physics, and category theory.

Life and career

Cartier was born on 10 June 1932. He studied at the École Normale Supérieure in Paris under Henri Cartan and André Weil.[2] After his 1958 thesis on algebraic geometry, he worked in a number of fields. He is known for the introduction of the Cartier operator in algebraic geometry in characteristic p, and for work on duality of abelian varieties and on formal groups. He is the eponym of Cartier divisors and Cartier duality.

From 1961 to 1971, he was a professor at the University of Strasbourg. In 1970 he was an Invited Speaker at the International Congress of Mathematicians in Nice.[3] He was awarded the 1978 Prize Ampère of the French Academy of Sciences.[4] In 2012 he became a fellow of the American Mathematical Society.[5]

Cartier died in Marcoussis on 17 August 2024, at the age of 92.[6]

Publications

  • Lua error in package.lua at line 80: module 'strict' not found. (1st edition 1969)[7]
  • Lua error in package.lua at line 80: module 'strict' not found. (1st edition 1992)
  • Lua error in package.lua at line 80: module 'strict' not found.
  • Freedom in Mathematics, Springer India, 2016 (with Cédric Villani, Jean Dhombres, Gerhard Heinzmann), ISBN 978-81-322-2786-1.[8]
    • Translation from the French language edition: Mathématiques en liberté, La Ville Brûle, Montreuil 2012, ISBN 978-23-601-2026-0.
  • Pierre Cartier: Alexander Grothendieck. A country known only by name. Notices AMS, vol. 62, 2015, no. 4, pp. 373–382, PDF.

As editor

  • Lua error in package.lua at line 80: module 'strict' not found. (1st edition 1990)
  • Lua error in package.lua at line 80: module 'strict' not found.

See also

References

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External links

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Stub icon

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  1. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  2. ↑ Pierre Cartier at the Mathematics Genealogy Project
  3. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  4. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  5. ↑ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
  6. ↑ Pierre Cartier, mathématicien français, est mort Le Monde Script error: No such module "In lang".
  7. ↑ Lua error in package.lua at line 80: module 'strict' not found.
  8. ↑ Lua error in package.lua at line 80: module 'strict' not found.
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