Obiettivo In our project we are interested in the classification of complex projective contact Fano manifolds and of quaternion-Kahler manifolds with positive scalar curvature. Also we want to classify smooth subvarieties of projective space whose dual is also smooth. We divide these problems into the following four objectives: 1) to expand the dictionary between the differential geometric properties of quaternion-Kahler manifolds with positive scalar curvature and algebro-geometric properties of complex contact Fano manifolds; 2) to determine properties of minimal rational curves on contact Fano manifolds and the Legendrian subvarieties determined by these curves; 3) to use the results of 1) and 2) to make progress in establishing or disproving the conjecture of LeBrun and Salamon - we will approach the conjecture from both the differential and algebraic perspectives. 4) to classify smooth varieties whose dual is also smooth via Legendrian varieties. Parole chiave Legendrian varieties algebraic geometry contact manifolds differential geometry quaternion-Kahler manifolds self-dual varieties smooth varieties with smooth dual Programma(i) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) PEOPLE-2007-4-1.IOF - Marie Curie Action: "International Outgoing Fellowships for Career Development" Invito a presentare proposte FP7-PEOPLE-2007-4-1-IOF Vedi altri progetti per questo bando Meccanismo di finanziamento MC-IOF - International Outgoing Fellowships (IOF) Coordinatore UNIVERSITE JOSEPH FOURIER GRENOBLE 1 Contributo UE € 239 138,19 Indirizzo Avenue Centrale, Domaine Universitaire 621 38041 GRENOBLE Francia Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Laurent Manivel (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
