Objetivo 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. Ámbito científico natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsgeometry Programa(s) 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) Tema(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Convocatoria de propuestas ERC-2011-StG_20101014 Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-SG - ERC Starting Grant Institución de acogida UNIVERSITE DE NANTES Aportación de la UE € 887 600,00 Dirección QUAI DE TOURVILLE 1 44035 NANTES CEDEX 1 Francia Ver en el mapa Región Pays de la Loire Pays de la Loire Loire-Atlantique Tipo de actividad Higher or Secondary Education Establishments Investigador principal Vincent Maurice Colin (Mr.) Contacto administrativo Elodie Hervio (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo UNIVERSITE DE NANTES Francia Aportación de la UE € 887 600,00 Dirección QUAI DE TOURVILLE 1 44035 NANTES CEDEX 1 Ver en el mapa Región Pays de la Loire Pays de la Loire Loire-Atlantique Tipo de actividad Higher or Secondary Education Establishments Investigador principal Vincent Maurice Colin (Mr.) Contacto administrativo Elodie Hervio (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos