GEODYCON
Geometry and dynamics via contact topology
| Coordinatore | UNIVERSITE DE NANTES
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 887˙600 € |
| EC contributo | 887˙600 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-StG_20101014 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2012 |
| Periodo (anno-mese-giorno) | 2012-01-01 - 2016-12-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE DE NANTES
Organization address
address: QUAI DE TOURVILLE 1 contact info |
FR (NANTES CEDEX 1) | hostInstitution | 887˙600.00 |
| 2 |
UNIVERSITE DE NANTES
Organization address
address: QUAI DE TOURVILLE 1 contact info |
FR (NANTES CEDEX 1) | hostInstitution | 887˙600.00 |
Mappa
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Obiettivo del progetto (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. ï€- 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.'