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Roger Godement

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Nationality
  
French

Fields
  
Mathematics

Name
  
Roger Godement

Doctoral advisor
  
Role
  
Mathematician

Notable students
  
Herve Jacquet


Roger Godement godementeusitewpcontentuploadsgodementjpg

Born
  
October 1, 1921 (age 103) Le Havre (
1921-10-01
)

Institutions
  
Alma mater
  
Ecole normale superieure

Doctoral students
  
Reiji TakahashiHerve JacquetGerard SchiffmannJean-Pierre labessePaul GerardinFrancois RodierGilles Lachaud

Known for
  
Bochner–Godement theoremGodement resolution

Books
  
Analysis I: Convergence - Elementa, Zeta Functions of Simple, Analysis IV: Integration and Spec, Analysis III: Analytic and Differ, Analysis II: Differential and Integ

Education
  
Ecole Normale Superieure

Hervé Jacquet - The work of Roger Godement


Roger Godement ([ɡɔdmɑ̃]; October 1, 1921 – July 21, 2016) was a French mathematician, known for his work in functional analysis as well as his expository books.

Contents

Jean Pierre Labesse - L’héritage de Roger Godement


Biography

Godement started as a student at the École normale supérieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian groups, finding a number of major results; this work was in parallel but independent of similar investigations in the USSR and Japan. Work on the abstract theory of spherical functions published in 1952 proved very influential in subsequent work, particularly that of Harish-Chandra. The isolation of the concept of square-integrable representation is attributed to him. The Godement compactness criterion in the theory of arithmetic groups was a conjecture of his. He later worked with Jacquet on the zeta function of a simple algebra.

He was an active member of the Bourbaki group in the early 1950s, and subsequently gave a number of significant Bourbaki seminars. He also took part in the Cartan seminar.

His book Topologie Algébrique et Théorie des Faisceaux from 1958 was, as he said, a very unoriginal idea for the time (that is, to write an exposition of sheaf theory); as a non-specialist, he managed to write an enduring classic. It introduced the technical method of flasque resolutions, nowadays called Godement resolutions. It has also been credited as the place in which a comonad can first be discerned.

He also wrote texts on Lie groups, abstract algebra and mathematical analysis.

Selected publications

  • "A theory of spherical functions. I". Trans. Amer. Math. Soc. 73: 496–556. 1952. MR 0052444. doi:10.1090/s0002-9947-1952-0052444-2. 
  • Topologie algébrique et théorie des faisceaux. Hermann 1958, 1960.
  • Cours d´algèbre. Hermann 1963, 1966.
  • Algebra. Hermann 1968.
  • Godement, R. (1970), Notes on Jacquet–Langlands' theory, Institute for Advanced Study 
  • with Hervé Jacquet: Zeta Functions of Simple Algebras. Springer-Verlag 1972.
  • Analyse mathématique. 4 vols., Springer-Verlag 1998–2001.
  • References

    Roger Godement Wikipedia


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