Sylvestre Gallot

Sylvestre F. L. Gallot (born January 29, 1948 in Bazoches-lès-Bray)[1][2] is a French mathematician, specializing in differential geometry. He is an emeritus professor at the Institut Fourier of the Université Grenoble Alpes, in the Geometry and Topology section.[3]

Sylvestre Gallot, IHES, Bures-sur-Yvette 2007

Education and career

Sylvestre Gallot received his doctorate from Paris Diderot University (Paris 7) with thesis under the direction of Marcel Berger.[4] Gallot worked during the early 1980s at the University of Savoie, then at the École Normale Supérieure de Lyon and the University of Grenoble (Institut Fourier).

His research deals with isoperimetric inequalities in Riemann geometry, rigidity issues, and the Laplace operator spectrum on Riemannian manifolds. With Gérard Besson and Pierre Bérard, he discovered, in 1985, a form of isoperimetric inequality in Riemannian manifolds with a lower bound involving the diameter and Ricci curvature.[5] In 1995, he discovered with Gérard Besson and Gilles Courtois, a Chebyshev inequality for the minimal entropy of locally symmetrical spaces of negative curvature; the inequality gives a new and simpler proof of the Mostow rigidity theorem.[6][7] The result of Besson, Courtois, and Gallo is called minimal entropy rigidity.[8]

In 1998 he was an invited speaker with talk Curvature decreasing maps are volume decreasing at the International Congress of Mathematicians in Berlin.[9]

Selected publications
  • with Dominique Hulin, Jacques Lafontaine Riemannian Geometry, Universitext, Springer Verlag, 3rd edition 2004
  • with Daniel Meyer Opérateur de courbure et laplacien des formes différentielles d´une variété riemannienne, J. Math. Pures Appliqués, 54, 1975, 259-284
  • Inégalités isopérimétriques, courbure de Ricci et invariants géométriques, 1,2, C. R. Acad. Sci., 296, 1983, 333-336, 365-368
  • Inégalités isopérimétriques et analytiques sur les variétés riemanniennes, Astérisque 163/164, 1988, 33-91
  • with Pierre Bérard, Gérard Besson Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov, Inventiones Mathematicae, vol. 80, 1985, pp. 295–308 doi:10.1007/BF01388608
  • with G. Besson, P. Bérard Embedding Riemannian manifolds by their heat kernel, Geometric Functional Analysis (GAFA), 4, 1994, pp. 373–398 doi:10.1007/BF01896401
  • with G. Besson, G. Courtois Volume et entropie minimale des espaces localement symétriques, Inventiones Mathematicae, 103, 1991, pp. 417–445 doi:10.1007/BF01239520
  • with G. Besson, G. Courtois: Les variétés hyperboliques sont des minima locaux de l’entropie topologique, Inventiones Mathematicae 177, 1994, pp. 403–445 doi:10.1007/BF01232251
  • with G. Besson G. Courtois: Volume et entropie minimales des variétés localement symétriques, GAFA 5, 1995, pp. 731–799
  • with G. Besson, G. Courtois: Minimal entropy and Mostow’s rigidity theorems, Ergodic Theory and Dynamical Systems, 16, 1996, pp. 623–649
  • Volumes, courbure de Ricci et convergence des variétés, d'après Tobias Colding et Cheeger-Colding, Séminaire Bourbaki 835, 1997/98

References
  1. "Gallot, S." Library of Congress.
  2. "Sylvestre Gallot". Aracne editrice.
  3. "Annuaire | UMR 5582 - Laboratoire de mathématiques". www-fourier.ujf-grenoble.fr. Retrieved 2020-08-20.
  4. Sylvain Gallot at the Mathematics Genealogy Project
  5. Berger, Marcel (2007). A panoramic view of Riemannian geometry. Springer. p. 319. ISBN 978-3-540-65317-2. (pbk reprint of 2003 original)
  6. Berger, Marcel (2007). A panoramic view of Riemann geometry. p. 484. ISBN 9783540653172.
  7. Pansu, Pierre. "Volume, courbure et entropie, d'après Besson, Courtois et Gallot". Seminaire Bourbaki. 1996/97, exposés 820–834, Astérisque, no. 245, Talk no. 823: 83–103.
  8. Connell, Christopher; Farb, Benson (2001). "Minimal entropy rigidity for lattices in products of rank one symmetric spaces". arXiv:math/0101045.
  9. Gallot, Sylvestre (1998). "Curvature-decreasing maps are volume-decreasing (On joint work with G. Besson and G. Courtois)". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 339–348.
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