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Geometry and analysis of the first eigenvalue functional

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.

Field of science

  • /natural sciences/mathematics/pure mathematics/geometry
  • /social sciences/sociology/ideologies

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
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 156 712,58
Administrative Contact
Emmanuel Poirault (Mr.)