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Content archived on 2024-05-28

Geometry and dynamics via contact topology

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.

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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.

Call for proposal

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ERC-2011-StG_20101014
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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.

ERC-SG - ERC Starting Grant

Host institution

UNIVERSITE DE NANTES
EU contribution
€ 887 600,00
Address
QUAI DE TOURVILLE 1
44035 NANTES CEDEX 1
France

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Region
Pays de la Loire Pays de la Loire Loire-Atlantique
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

No data

Beneficiaries (1)

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