Objective
                                I intend to cross ressources of holomorphic curves techniques and traditional topological methods to study some fundamental questions in symplectic and contact geometry such as:
- The Weinstein conjecture in dimension greater than 3.
- The construction of new invariants for both smooth manifolds and Legendrian/contact manifolds, in particular, try to define an analogue of Heegaard Floer homology in dimension larger than 3.
- The link, in dimension 3, between the geometry of the ambient manifold (especially hyperbolicity) and the dynamical/topological properties of its Reeb vector fields and contact structures.
- The topological characterization of odd-dimensional manifolds admitting a contact structure.
A crucial ingredient of my program is to understand the key role played by open book decompositions in dimensions larger than three.
This program requires a huge amount of mathematical knowledges. My idea is to organize a team around Ghiggini, Laudenbach, Rollin, Sandon and myself, augmented by two post-docs and one PhD student funded by the project. This will give us the critical size to organize a very active working seminar and to have a worldwide attractivity and recognition.
I also plan to invite one confirmed researcher every year (for 1-2 months), to organize one conference and one summer school, as well as several focused weeks.
                            
                                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
- natural sciences mathematics pure mathematics geometry
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    Programme(s)
    
      
      
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  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
      
        
        
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          Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
        ERC-2011-StG_20101014
          
            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
44035 NANTES CEDEX 1
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.
 
           
        