Objective 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. Fields of science natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsgeometry Programme(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) Topic(s) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Call for proposal ERC-2012-ADG_20120216 See other projects for this call Funding Scheme ERC-AG - ERC Advanced Grant Host institution UGA-Université Grenoble Alpes EU contribution € 998 276,80 Address 621, AVENUE CENTRALE 38401 SAINT MARTIN D'HERES France See on map Region RUP FR — Régions Ultrapériphériques Françaises Guadeloupe Guadeloupe Activity type Higher or Secondary Education Establishments Administrative Contact Aurélie Diringer-Dagorne (Ms.) Principal investigator Gérard Robert Besson (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all UGA-Université Grenoble Alpes France EU contribution € 998 276,80 Address 621, AVENUE CENTRALE 38401 SAINT MARTIN D'HERES See on map Region RUP FR — Régions Ultrapériphériques Françaises Guadeloupe Guadeloupe Activity type Higher or Secondary Education Establishments Administrative Contact Aurélie Diringer-Dagorne (Ms.) Principal investigator Gérard Robert Besson (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data UNIVERSITE JOSEPH FOURIER GRENOBLE 1 Participation ended France EU contribution No data Address Avenue Centrale, Domaine Universitaire 621 38041 GRENOBLE See on map Activity type Higher or Secondary Education Establishments Administrative Contact Yann Leroux (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
