Jean-Claude Sikorav

from Wikipedia, the free encyclopedia
Jean-Claude Sikorav

Jean-Claude Sikorav (born June 21, 1957 in Paris ) is a French mathematician who deals with symplectic geometry, complex geometry and geometry of groups.

career

Sikorav attended the Lycée Louis-le-Grand . As a pupil, he won the gold medal (with a perfect score) at the Mathematics Olympiad in Bulgaria in 1975, having received the bronze medal in Erfurt a year earlier. Sikorav attended the École normal supérieure in Paris from 1976 and received his doctorate in 1982 under François Laudenbach at the University of Paris-South in Orsay. He is a professor at the École normal supérieure de Lyon , where he headed the mathematics faculty for a long time.

In symplectic geometry he is known, among other things, for the proof of a special case of a conjecture by Vladimir Arnold (theorem of Laudenbach and Sikorav). Laudenbach and Sikorav also deal with the existence (sikorav) generating functions with certain asymptotic properties in the Lagrangian submanifolds, which the theorem describes, which was expanded by Claude Viterbo (he proved the uniqueness) and which proved to be important for the development of symplectic geometry.

He has been a Knight of the Ordre des Palmes Académiques since 2011 . In 1988 he held the Cours Peccot at the Collège de France .

Fonts

  • Systemes Hamiltoniens et Topologie Symplectique , University of Pisa 1990
  • with Laudenbach Persistance d´intersection avec la section nulle au cours d´une isotopie hamiltonienne dans une fiber cotangent , Inventiones Mathematicae, Volume 82, 1985, pp. 349-357
  • Some properties of holomorphic curves in almost complex manifolds , in Holomorphic curves in symplectic geometry , Birkhäuser, Progress in Mathematics, Volume 117, 1994, pp. 165-189
  • Henri Paul de Saint-Gervais (pseudonym of fifteen mathematicians, including Sikorav, Étienne Ghys ): Uniformisation des surfaces de Riemann: retour sur une théorème centenaire , Lyon, ENS Éditions 2010

Web links

Individual evidence

  1. Jean-Claude Sikorav in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. On this see, for example, Dusa McDuff, Dietmar Salamon Symplectic Topology , Oxford, Clarendon Press 1998, Chapter 11.3