Marcel Berger (14 April 1927 – 15 October 2016) was a French
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
, doyen of French
differential geometry, and a former director of the
Institut des Hautes Études Scientifiques
The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics. It is located in Bures-sur-Yvette, jus ...
(IHÉS), France. Formerly residing in Le Castera in
Lasseube, Berger was instrumental in
Mikhail Gromov's accepting positions both at the
University of Paris
, image_name = Coat of arms of the University of Paris.svg
, image_size = 150px
, caption = Coat of Arms
, latin_name = Universitas magistrorum et scholarium Parisiensis
, motto = ''Hic et ubique terrarum'' (Latin)
, mottoeng = Here and a ...
and at the IHÉS.
Awards and honors
*1956 Prix Peccot, Collège de France
*1962 Prix Maurice Audin
*1969 Prix Carrière, Académie des Sciences
*1978 Prix Leconte, Académie des Sciences
*1979 Prix Gaston Julia
*1979–1980 President of the
French Mathematical Society.
*1991
Lester R. Ford Award
Lester is an ancient Anglo-Saxon surname and given name. Notable people and characters with the name include:
People
Given name
* Lester Bangs (1948–1982), American music critic
* Lester W. Bentley (1908–1972), American artist from Wisc ...
Selected publications
* Berger, M.
Geometry revealed Springer, 2010.
* Berger, M.: What is... a
Systole? Notices of the AMS 55 (2008), no. 3, 374–376
online text*
*
*
*Berger, Marcel; Gauduchon, Paul; Mazet, Edmond: Le spectre d'une variété riemannienne. (French) Lecture Notes in Mathematics, Vol. 194 Springer-Verlag, Berlin-New York 1971.
*Berger, Marcel: Sur les groupes d'holonomie homogène des variétés à connexion affine et des variétés riemanniennes. (French) Bull. Soc. Math. France 83 (1955), 279–330.
*Berger, Marcel: Les espaces symétriques noncompacts. (French) Ann. Sci. École Norm. Sup. (3) 74 1957 85–177.
*Berger, Marcel; Gostiaux, Bernard: Differential geometry: manifolds, curves, and surfaces. Translated from the French by Silvio Levy.
Graduate Texts in Mathematics
Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard ...
, 115. Springer-Verlag, New York, 1988. xii+474 pp.
*Berger, Marcel: Geometry. II. Translated from the French by M. Cole and S. Levy. Universitext. Springer-Verlag, Berlin, 1987.
*Berger, M.: Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. (French) Ann. Scuola Norm. Sup. Pisa (3) 15 1961 179–246.
*Berger, Marcel: Geometry. I. Translated from the French by M. Cole and S. Levy. Universitext. Springer-Verlag, Berlin, 1987. xiv+428 pp.
*Berger, Marcel: Systoles et applications selon Gromov. (French)
ystoles and their applications according to GromovSéminaire Bourbaki, Vol. 1992/93. Astérisque No. 216 (1993), Exp. No. 771, 5, 279–310.
*Berger, Marcel: Geometry. I. Translated from the 1977 French original by M. Cole and S. Levy. Corrected reprint of the 1987 translation. Universitext. Springer-Verlag, Berlin, 1994. xiv+427 pp.
*Berger, Marcel
Riemannian geometry during the second half of the twentieth century Reprint of the 1998 original. University Lecture Series, 17. American Mathematical Society, Providence, Rhode Island, 2000. x+182 pp.
*Besse, A.L.: Einstein Manifolds. Springer-Verlag, Berlin, 1987.
See also
*
Arthur Besse
*
Berger's inequality for Einstein manifolds
*
Berger–Kazdan comparison theorem
*
Musical isomorphism
*
Parametrix
*
Quaternion-Kähler manifold
*
Spin(7)-manifold
*
Symmetric space
In mathematics, a symmetric space is a Riemannian manifold (or more generally, a pseudo-Riemannian manifold) whose group of symmetries contains an inversion symmetry about every point. This can be studied with the tools of Riemannian geometry, ...
*
Systolic geometry
References
Further reading
*
Claude LeBrun
Claude R. LeBrun (born 1956) is an American mathematician who holds the position of SUNY Distinguished Professor of Mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in ...
(Editor and Translator).
Marcel Berger Remembered, ''
Notices of the American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since ...
'', December 2017, Volume 64, Number 11, pp. 1285–1295.
External links
*
*https://web.archive.org/web/20141021192249/http://www.academie-sciences.fr/academie/membre/Berger_Marcel.htm
{{DEFAULTSORT:Berger, Marcel
1927 births
2016 deaths
Members of the French Academy of Sciences
20th-century French mathematicians
21st-century French mathematicians
Geometers
Differential geometers
Textbook writers