Objetivo The purpose of this project is to study the interactions between Riemannian Geometry and the topology of open manifolds. A general question is to find the best Riemannian metric on a given manifold; a related question is to understand the topological consequences of the existence of a metric with given properties. This programme has already been highly successful in the compact case whereas basic questions are not answered in the open case. The key tool which ought to be used in the three items is the Ricci flow with bubbling off, in dimension 3, described by myself and my collaborators. This opened the way to applying Ricci flow to non-compact manifolds and it is a breakthrough which gives a very optimistic approach to some deep conjectures. The study of Whitehead manifolds will open a wide realm of research since results are scarce. This will provide work for quite a few graduate students and for several years. My goal is to make such a significant progress that the subject will become proeminent in Riemannian Geometry. Again, for this the Ricci flow will be an unavoidable tool. Constructing explicit Riemannian metrics with various properties is another goal, which pertains to the same circle of ideas, and will lead to a systematic study of these spaces. This is a new and groundbreaking direction of research. I have already obtained some results in these direction and I intend to go much further and to enhance my national and international collaborations using the grant if accepted. 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-AG-PE1 - ERC Advanced Grant - Mathematical foundations Convocatoria de propuestas ERC-2012-ADG_20120216 Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-AG - ERC Advanced Grant Institución de acogida UGA-Université Grenoble Alpes Aportación de la UE € 998 276,80 Dirección 621, AVENUE CENTRALE 38401 SAINT MARTIN D'HERES Francia Ver en el mapa Región RUP FR — Régions Ultrapériphériques Françaises Guadeloupe Guadeloupe Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Aurélie Diringer-Dagorne (Ms.) Investigador principal Gérard Robert Besson (Dr.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos Beneficiarios (2) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo UGA-Université Grenoble Alpes Francia Aportación de la UE € 998 276,80 Dirección 621, AVENUE CENTRALE 38401 SAINT MARTIN D'HERES Ver en el mapa Región RUP FR — Régions Ultrapériphériques Françaises Guadeloupe Guadeloupe Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Aurélie Diringer-Dagorne (Ms.) Investigador principal Gérard Robert Besson (Dr.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos UNIVERSITE JOSEPH FOURIER GRENOBLE 1 La participación finalizó Francia Aportación de la UE Sin datos Dirección Avenue Centrale, Domaine Universitaire 621 38041 GRENOBLE Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Yann Leroux (Mr.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos