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词条 Jean-Claude Sikorav
释义

  1. Main contributions

  2. Selected publications

  3. Honors

  4. References

  5. External links

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

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

  • {{citation

| last = Sikorav | first = Jean-Claude
| contribution = Some properties of holomorphic curves in almost complex manifolds
| location = Basel
| mr = 1274929
| pages = 165–189
| publisher = Birkhäuser
| series = Progress in Mathematics
| title = Holomorphic curves in symplectic geometry
| volume = 117
| year = 1994}}.

and research papers

  • {{citation

| last1 = Hofer | first1 = Helmut
| author1-link= Helmut Hofer (mathematician)
| last2 = Lizan | first2 = Véronique
| last3 = Sikorav | first3 = Jean-Claude
| doi = 10.1007/BF02921708
| issue = 1
| journal = Journal of Geometric Analysis
| mr = 1630789
| pages = 149–159
| title = On genericity for holomorphic curves in four-dimensional almost-complex manifolds
| volume = 7
| year = 1997}}.
  • {{citation

| last1 = Laudenbach | first1 = François
| last2 = Sikorav | first2 = Jean-Claude
| doi = 10.1007/BF01388807
| issue = 2
| journal = Inventiones Mathematicae
| mr = 809719
| pages = 349–357
| title = Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
| volume = 82
| year = 1985}}.

Honors

Sikorav is a Chevalier of the Ordre des Palmes Académiques.

References

1. ^See here
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. ^{{citation | last = de Saint-Gervais | first = Henri Paul | isbn = 978-2-84788-233-9 | mr = 2768303 | publisher = ENS Éditions, Lyon | title = Uniformisation des surfaces de Riemann: Retour sur un théorème centenaire | year = 2010}}.

External links

  • Home page at the École Normale Supérieure de Lyon
{{Authority control}}{{DEFAULTSORT:Sikorav, Jean-Claude}}

6 : 1957 births|École Normale Supérieure alumni|Living people|French mathematicians|Chevaliers of the Ordre des Palmes Académiques|Topologists

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