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Training in symplectic geometry and pseudo-holomorphic curves

Ziel



Since the Autumn 1994, I am working at a Ph. D. under the supervision of Pierre PANSU, professor at the University of Paris-Sud. My work consists on understanding better the theorem of compactness of pseudo- holomorphic curves, showed by Cremor in his 1985 paper. Another aspect is to understand the associated modular space and its compactification. Moreover, a generalization of the compactness result to solution of Cremor's elliptic equations in two variables, which should appear as the most general elliptic equations of surface in 4-manifold, is expected. Recently, C.Taubes related pseudoholomorphic curves in 4-dimension to solution of Seiberg-Willen's equation. His approach to pseudoholomorphic curves as zero sets of functions has been fruitful and might lead to result for my research.
Professor Salomon, who works around Seiberg-Willem invariants, sympletic geometry and J-holomorphic curves, had the kindness to accept to supervise my work. I would be delighted to continue my thesis research in Warwick.

Wissenschaftliches Gebiet (EuroSciVoc)

Programm/Programme

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Aufforderung zur Vorschlagseinreichung

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Finanzierungsplan

RGI - Research grants (individual fellowships)

Koordinator

UNIVERSITY OF WARWICK
EU-Beitrag
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Adresse
Gibbet Hill Road
CV4 7AL COVENTRY
Vereinigtes Königreich
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