Objectif On a compact Riemannian manifold without boundary, the Laplace and Dirac operators have discrete spectra accumulating towards infinity. The eigenvalue counting function has an asymptotic expansion depending on the volume and the dimension of the manifold. On noncompact manifolds several aspects of this theory may go wrong. In a recent paper we proved that on manifolds with conformally asymptotically cylindrical ends, a more general Weyl law holds for the eigenvalues of the Dirac operator. The goal of this p roject is to investigate whether such laws hold on other types of Riemannian manifolds with singularities, in particular manifolds with corners with conformally cuspidal ends, and conformally conical manifolds. Champ scientifique engineering and technologynanotechnologyengineering and technologyother engineering and technologiesnuclear engineeringnatural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsgeometrynatural sciencesphysical sciencestheoretical physics Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Thème(s) MOBILITY-4.1 - Marie Curie European Reintegration Grants (ERG) Appel à propositions FP6-2002-MOBILITY-11 Voir d’autres projets de cet appel Régime de financement ERG - Marie Curie actions-European Re-integration Grants Coordinateur INSTITUTUL DE MATEMATICA AND QUOT;SIMION STOILOW AND QUOT; AL ACADEMIEI ROMANE Contribution de l’UE Aucune donnée Adresse Calea Grivitei 21 BUCHAREST Roumanie Voir sur la carte Coût total Aucune donnée