Objective
The following list of questions describe the four main directions which I want to develop.
1) Topology of real uniruled manifolds.
May the connected sum of two closed hyperbolic manifolds of dimension at least three be Lagrangian embedded in a uniruled symplectic manifold? Being able to answer to this question through the negative using the symplectic field theory introduced by Eliashberg-Givental and Hofer requires to understand pseudo-holomorphic curves in the cotangent bundle of such a connected sum. For this purpose, one needs some understanding of closed geodesics on such manifolds. Conversely, what are the simplest real three-dimensional projective manifolds which have hyperbolic or SOL manifolds in their real loci?
2) Enumerative problems in real uniruled manifolds.
Is it possible to extract integer valued invariants from the count of real rational curves of given degree in the projective three-space (for instance) which interpolate an adequate number of real lines? Same question in dimensions greater than three for curves passing through points.
3) Lagrangian strings in symplectic manifolds.
I would like to investigate the interactions between closed Lagrangian strings and open Lagrangian strings in symplectic manifolds. These strings -which I recently introduced- interact through holomorphic disks both punctured on their boundaries and interiors. What can be the analogous TQFT associated to coherent sheaves on complex projective manifolds? How are these strings related to Gromov-Witten invariants?
4) Volume of linear systems of real divisors.
The theory of closed positive currents provides probabilistic informations on the topology of real hypersurfaces in Kähler manifolds. I want to push a work in progress as far as possible in this subject.
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.
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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.
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.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2010-StG_20091028
See other projects for this call
Funding Scheme
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.
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.
Host institution
75794 PARIS
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.