• Source: Marcel Berger

Marcel Berger (14 April 1927 – 15 October 2016) was a French mathematician, doyen of French differential geometry, and a former director of the Institut des Hautes Études Scientifiques (IHÉS), France.




Biography


After studying from 1948 to 1951 at the École normale supérieure in Paris, Berger obtained in 1954 his PhD from the University of Paris, with thesis written under the direction of André Lichnerowicz. From 1958 to 1964 he taught at the University of Strasbourg and had visiting positions at the Massachusetts Institute of Technology and the University of California, Berkeley. From 1964 to 1966 he taught at the University of Nice, after which he joined the University of Paris VII. From 1985 to 1993 he served as director of the IHÉS.
Formerly residing in Le Castera in Lasseube, Berger was instrumental in Mikhail Gromov's accepting positions both at the University of Paris 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




Selected publications


Berger, Marcel (2010). Geometry Revealed. Heidelberg ; New York: Springer. ISBN 978-3-540-70996-1. OCLC 280446977.
Berger, M.: What is... a Systole? Notices of the AMS 55 (2008), no. 3, 374–376. online text
Berger, Marcel (2003). A Panoramic View of Riemannian Geometry. Springer-Verlag. ISBN 3-540-65317-1.
Berger, Marcel (Feb 2000). "Encounter with a Geometer, Part I" (PDF). Notices of the AMS. 47 (2): 183–194.
Berger, Marcel (Mar 2000). "Encounter with a Geometer, Part II" (PDF). Notices of the AMS. 47 (3): 326–340.
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 (1988). Differential Geometry: manifolds, curves, and surfaces. Graduate Texts in Mathematics. Translated by Levy, Silvio. New York: Springer. ISBN 978-0-387-96626-7.
Berger, Marcel (2009). Geometry I. Universitext. Translated by Cole, M.; Levy, S. Berlin ; New York: Springer-Verlag. ISBN 978-3-540-11658-5.
Berger, Marcel (2009). Geometry II. Universitext. Translated by Cole, M.; Levy, S. Berlin ; New York: Springer-Verlag. ISBN 978-3-540-17015-0.
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: Systoles et applications selon Gromov. (French) [Systoles and their applications according to Gromov] Séminaire Bourbaki, Vol. 1992/93. Astérisque No. 216 (1993), Exp. No. 771, 5, 279–310.
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. ISBN 0-8218-2052-4
Besse, A. L. (1978). Manifolds all of whose Geodesics are Closed. Berlin Heidelberg: Springer-Verlag. ISBN 978-3-540-08158-6.
Besse, Arthur L. (2007). Einstein Manifolds. Berlin Heidelberg: Springer-Verlag. ISBN 978-3-540-74120-6.




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
Systolic geometry




References






Further reading


Claude LeBrun (Editor and Translator). "Marcel Berger Remembered", Notices of the American Mathematical Society, December 2017, Volume 64, Number 11, pp. 1285–1295.




External links


"Correspondant de l'Académie des sciences: Marcel Berger". www.academie-sciences.fr (in French). French Academy of Sciences. Archived from the original on 2014-10-21.

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