Objectif Isoparametric hypersurfaces are intriguing geometric objects whose study has revealed connections with several areas of mathematics and mathematical physics, and which have typically been investigated with differential geometric, algebraic or topological techniques.The aim of this proposal is to develop an innovative approach to isoparametric hypersurfaces by combining already established tools with methods from geometric analysis and partial differential equations. Specifically, we intend to investigate the existence of isoparametric hypersurfaces in general Riemannian manifolds, the role of these objects in overdetermined problems of elliptic partial differential equations, and the isoparametricity of compact hypersurfaces with constant mean curvature in noncompact symmetric spaces.In order to develop this proposal, the Experienced Researcher will join the Geometric Analysis team at ICMAT, in Madrid, under the supervision of one of its main researchers, Alberto Enciso. The host group has extensive experience in the study of the geometric properties of solutions to differential equations, and their main researchers have recently developed powerful methods to address outstanding problems in fluid mechanics and geometric analysis. The scientific training strategy of this proposal consists in the assimilation of these techniques. On the other hand, the Researcher is experienced in the classical theory of isoparametric hypersurfaces, as evidenced by his contributions to the field. It is the combination of both backgrounds what is needed to develop this proposal.Finally, this MSC fellowship would boost the convergence of distinct research fields and collaborative networks, produce a synergy with the ERC Starting Grant hold by the Supervisor, diversify the fellow’s mathematical knowledge, and consolidate him as an independent researcher. Champ scientifique sciences naturellesmathématiquesmathématiques appliquéesphysique mathématiquesciences naturellesmathématiquesmathématiques puresgéométriesciences naturellesmathématiquesmathématiques puresanalyse mathématiqueéquations différentielleséquations différentielles partielles Mots‑clés Isoparametric hypersurfaces constant mean curvature overdetermined boundary value problems Riemannian submanifolds symmetric spaces Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Thème(s) MSCA-IF-2016 - Individual Fellowships Appel à propositions H2020-MSCA-IF-2016 Voir d’autres projets de cet appel Régime de financement MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Coordinateur AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS Contribution nette de l'UE € 158 121,60 Adresse Calle serrano 117 28006 Madrid Espagne Voir sur la carte Région Comunidad de Madrid Comunidad de Madrid Madrid Type d’activité Research Organisations Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Autres sources de financement € 0,00
