Objective The project is devoted to the study of the first eigenvalue problem for the Laplace operator in geometric settings. The starting ideology is to regard the first eigenvalue as a functional defined on a suitable set of Riemannian metrics, and the main objects of the study are the corresponding extremals. More precisely, the objectives are to study the existence and the properties of extremal metrics. The methods and intuition are both analytic and geometric and involve, for example, the analysis of the concentration phenomenon and the development of the regularity theory. The project is on a quickly developing area which borders with a number of disciplines, and at the moment only isolated results are proved on the rigorous level. Therefore, any progress would be interesting for experts and would advance the researcher greatly towards attaining an independent position. Fields of science natural sciencesmathematicspure mathematicsgeometrysocial sciencessociologyideologies Keywords Geometry Laplace operator Mathematical analysis first eigenvalue Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-IEF-2008 - Marie Curie Action: "Intra-European Fellowships for Career Development" Call for proposal FP7-PEOPLE-IEF-2008 See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator UNIVERSITE DE CERGY-PONTOISE Address Boulevard du port 33 95011 Cergy-pontoise France See on map Activity type Higher or Secondary Education Establishments Administrative Contact Emmanuel Poirault (Mr.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution € 156 712,58
