Emmanuel Giroux

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Emmanuel Giroux (born before 1991) is a French mathematician who studies contact geometry , symplectic geometry and topology. He is a professor at the École Normale Supérieure de Lyon .

life and work

Giroux received his doctorate in 1991 from the École normal supérieure in Paris under François Laudenbach . His dissertation contained important advances in contact topology (introduction of convex surfaces, transverse to a flow that preserves the contact structures). He is Research Director of the CNRS and Professor at the ENS in Lyon.

In 2002 he proved a fundamental theorem, which established an assignment of contact structures to three-dimensional compact manifolds (except for isotopic ) and open book decompositions of manifolds. The theorem was perceived as a breakthrough in the theory of contact structures and 3-manifolds.

In 2002 he was invited speaker at the International Congress of Mathematicians (ICM) in Beijing.

He has been blind since he was eleven.

Fonts

  • Convexité en géometrie de contact, Comm. Math. Helv., 66, 1991, 637-677
  • Une structure de contact, même tendue, est plus ou moins tordue. Ann. Sci. École Norm. Sup. (4) 27, 1994, no. 6, 697-705.
  • Une infinité de structures de contact tendues sur une infinité de variétés. Inventiones Mathematicae, Volume 135, 1999, pp. 789-802.
  • Structures de contact en dimension trois et bifurcations des feuilletages de surface, Inventiones Mathematicae, Volume 141, 2000, pp. 615-689
  • Structures de contact sur les variétés fibers en cercles audessus d'une surface. Comment. Math. Helv. 76, 2001, no. 2, 218-262.
  • with Vincent Colin, Ko Honda: Finitude homotopique et isotopique des structures de contact tendues. Publ. Math. Inst. Hautes Études Sci. No. 109, 2009, 245-293.
  • Geometry de contact: de la dimension trois vers les dimensions supérieure, Proc. ICM Beijing 2002,
  • Topology de contact en dimension 3, autour de trauvaux de Yakov Eliashberg, Séminaire Bourbaki. No. 760 (1992/93), pp. 7-33
  • Sur la géométrie et la dynamique des transformations de contact, d'après Y. Eliashberg, L. Polterovich et al., Séminaire Bourbaki No. 1004, 2008/09

literature

  • Vincent Colin : Livres ouverts en géométrie de contact, d'après Emmanuel Giroux, Séminaire Bourbaki No. 969, 2006

Web links

Individual evidence

  1. ↑ Emmanuel Giroux in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Hansjörg Geiges Introduction to contact topology , Cambridge University Press 2008, Preface, XI
  3. ↑ see Giroux, Proc. ICM 2002
  4. ↑ The world of blind mathematicians, Notices AMS, 2002, No. 10, pdf
  5. ↑ Arxiv
personal data
SURNAME Giroux, Emmanuel
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH before 1991