François Laborie

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François Labourie, 2019

François Labourie (born December 15, 1960 in Rouen ) is a French mathematician .

Labourie went to school in Rouen and studied from 1980 to 1985 at the École normal supérieure . In 1987 he did his doctorate with Michail Gromow ( Topologie et géométrie des surfaces localement convexes ). From 1985 he was a researcher at the CNRS at the École polytechnique , where he was also assistant professor from 1991 to 2001. In 1993 he completed his habilitation with Albert Fathi and Robert Zimmer at the University of Paris-Süd , where he has been a professor since 1994.

Labourie is concerned with differential geometry, where he examined, among other things, convex hypersurfaces, pseudoholomorphic curves , Anosov flows and operations of groups (grids) on manifolds . In the beginning he built a lot on the ideas of Gromow. He also made important contributions to the generalization of Teichmüller's theory to higher dimensions with the help of projective structures (double ratios). With Yves Benoist and Patrick Foulon (* 1954) he solved a long open question about Anosov rivers on compact manifolds.

In 1992 he received the EMS Prize and in 1993 the Carrière Prize of the French Academy of Sciences. In 1998 he was invited speaker at the ICM in Berlin ( Large group actions on manifolds ). In 2006 he gave a keynote speech at the annual conference of the German Mathematicians Association ( Higher Thurston Theory ). Since 1997 he has been a member of the Institut Universitaire de France. In 2016 he was elected a member of the Academia Europaea .

Fonts (selection)

  • with Y. Benoist : Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables. Invent. Math. 111 (1993) no. 2, 285-308.
  • Un lemme de Morse for the convex surfaces. Invent. Math. 141 (2000), no. 2, 239-297.
  • with M. Burger , A. Iozzi, A. Wienhard: Maximal representations of surface groups: symplectic Anosov structures. Pure Appl. Math. Q. 1 (2005), no.3, Special Issue: In memory of Armand Borel. Part 2, 543-590.
  • Anosov flows, surface groups and curves in projective space. Invent. Math. 165 (2006), no. 1, 51-114.
  • Cross ratios, surface groups, PSL (n, R) and diffeomorphisms of the circle. Publ. Math. Inst. Hautes Études Sci. No. 106: 139-213 (2007).
  • with W. Goldman, G. Margulis : Proper affine actions and geodesic flows of hyperbolic surfaces. Ann. of Math. (2) 170 (2009), no. 3, 1051-1083.
  • with M. Bridgeman, R. Canary , A. Sambarino: The pressure metric for Anosov representations. Geom. Funct. Anal. 25 (2015), no. 4, 1089–1179.
  • Cyclic surfaces and Hitchin components in rank 2nd Ann. of Math. (2) 185 (2017), no. 1, 1-58.

Web links

Individual evidence

  1. ↑ What is a cross ratio? In: Notices AMS. 2008 (PDF file; 330 kB)
  2. ^ Yves Benoist, Patrick Foulon, Francois Laborie: Flots d'Anosov à distributions de Liapounov différentiables. I , Annales de L'Institut Henri Poincaré, Volume 53, 1990, pp. 395-412, the same: Flots d'Anosov a distributions stable et instable differentiables , J. Amer. Math. Soc. 5 (1992) no. 1, 33-74
  3. ↑ Plenary lecture , Annual DMV Conference, 2006 (PDF file; 227 kB)
personal data
SURNAME Laborie, François
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH December 15, 1960
PLACE OF BIRTH Rouen