Marcel Berger
Marcel Berger | |
|---|---|
 Marcel Berger in 1968 (photo from MFO) | |
| Born | 14 April 1927 Paris, France |
| Died | 15 October 2016 (aged 89) |
| Nationality | French |
| Known for | |
| Awards | Leconte Prize (1978) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Institut des Hautes Études Scientifiques |
| Doctoral advisor | André Lichnerowicz |
| Doctoral students | |
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. 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.[1]
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.[2]
- 1991 Lester R. Ford Award[3]
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 (2003). A Panoramic View of Riemannian Geometry. Springer-Verlag. ISBN 3-540-65317-1xxiv+824 pp.
{{cite book}}: CS1 maint: postscript (link) [4][5] - 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: Differential geometry: manifolds, curves, and surfaces. Translated from the French by Silvio Levy. Graduate Texts in Mathematics, 115. Springer-Verlag, New York, 1988. xii+474 pp. ISBN 0-387-96626-9
- 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. ISBN 3-540-11658-3
- 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: 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. ISBN 3-540-11658-3
- 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.: Einstein Manifolds. Springer-Verlag, Berlin, 1987. ISBN 0-387-15279-2
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
- ^ "Décès de Marcel Berger | Société Mathématique de France". Archived from the original on 2016-10-22. Retrieved 2016-10-19.
- ^ "Anciens Présidents | Société Mathématique de France". Archived from the original on 2016-10-24. Retrieved 2016-10-23.
- ^ Berger, Marcel Y. (1990). "Convexity". Amer. Math. Monthly. 97 (8): 650–678. doi:10.2307/2324573. JSTOR 2324573.
- ^ Osserman, Robert (2005-01-01). "Review of A Panoramic View of Riemannian Geometry". SIAM Review. 47 (1): 186–188. doi:10.1137/SIREAD000047000001000163000001. JSTOR 20453617.
- ^ Giblin, Peter (2005-01-01). "Review of A Panoramic View of Riemannian Geometry". The Mathematical Gazette. 89 (514): 162–163. doi:10.1017/s0025557200177289. JSTOR 3620688. S2CID 126075408.
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.
