GEODYCON
Financiado
Geometry and dynamics via contact topology
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 tha...
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.
ver más
Línea de financiación: concedida
El organismo FP7 notifico la concesión del proyecto el día 2016-12-31
Presupuesto
El presupuesto total del proyecto asciende a
888K€
Líder del proyecto
UNIVERSITE DE NANTES
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
554.70K€ |
Participante