Objective
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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics topology symplectic topology
- natural sciences mathematics pure mathematics geometry
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Programme(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
CV4 7AL COVENTRY
United Kingdom
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