GAFEF
Geometry and analysis of the first eigenvalue functional
| Coordinatore | UNIVERSITE DE CERGY-PONTOISE
Organization address
address: BOULEVARD DU PORT 33 contact info |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 156˙712 € |
| EC contributo | 156˙712 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-IEF-2008 |
| Funding Scheme | MC-IEF |
| Anno di inizio | 2009 |
| Periodo (anno-mese-giorno) | 2009-11-01 - 2011-10-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE DE CERGY-PONTOISE
Organization address
address: BOULEVARD DU PORT 33 contact info |
FR (Cergy-Pontoise) | coordinator | 156˙712.58 |
Mappa
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Obiettivo del progetto (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.'
Introduzione (Teaser)
A research project has advanced knowledge in mathematics through the study of the first eigenvalue problem for the Laplace operator in geometric settings. The work focused on the existence and properties of extremal metrics and has implications for a number of disciplines.