Jean-Claude Sikorav

Jean-Claude Sikorav (born 21 June 1957) is a French mathematician. He is professor at the École normale supérieure de Lyon. He is specialized in symplectic geometry.[1]

Jean-Claude Sikorav

Main contributions

Sikorav is known for his proof, joint with François Laudenbach, of the Arnold conjecture for Lagrangian intersections in cotangent bundles,[2] as well as for introducing generating families in symplectic topology.

Selected publications

Sikorav is one of fifteen members of a group of mathematicians who published the book Uniformisation des surfaces de Riemann under the pseudonym of Henri Paul de Saint-Gervais.[3]

He has written the survey

Sikorav, Jean-Claude (1994), "Some properties of holomorphic curves in almost complex manifolds", Holomorphic curves in symplectic geometry, Progress in Mathematics, 117, Basel: Birkhäuser, pp. 165–189, MR 1274929.

and research papers

Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude (1997), "On genericity for holomorphic curves in four-dimensional almost-complex manifolds", Journal of Geometric Analysis, 7 (1): 149–159, doi:10.1007/BF02921708, MR 1630789, S2CID 119936346.
Laudenbach, François; Sikorav, Jean-Claude (1985), "Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent", Inventiones Mathematicae, 82 (2): 349–357, doi:10.1007/BF01388807, MR 0809719, S2CID 122242002.

Honors

Sikorav is a Knight of the Ordre des Palmes Académiques.

References

See here Archived 2012-07-12 at the Wayback Machine
Laudenbach, Sikorav, Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent, Inventiones Mathematicae 82 (1985), no. 2, 349–357
de Saint-Gervais, Henri Paul (2010), Uniformisation des surfaces de Riemann: Retour sur un théorème centenaire, ENS Éditions, Lyon, ISBN 978-2-84788-233-9, MR 2768303.

External links

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[1] See here Archived 2012-07-12 at the Wayback Machine

[2] Laudenbach, Sikorav, Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent, Inventiones Mathematicae 82 (1985), no. 2, 349–357

[3] Saint-Gervais, Henri Paul (2010), Uniformisation des surfaces de Riemann: Retour sur un théorème centenaire, ENS Éditions, Lyon, ISBN 978-2-84788-233-9, MR 2768303.