Cel 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. Słowa kluczowe Legendrian varieties algebraic geometry contact manifolds differential geometry quaternion-Kahler manifolds self-dual varieties smooth varieties with smooth dual Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) PEOPLE-2007-4-1.IOF - Marie Curie Action: "International Outgoing Fellowships for Career Development" Zaproszenie do składania wniosków FP7-PEOPLE-2007-4-1-IOF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IOF - International Outgoing Fellowships (IOF) Koordynator UNIVERSITE JOSEPH FOURIER GRENOBLE 1 Wkład UE € 239 138,19 Adres Avenue Centrale, Domaine Universitaire 621 38041 GRENOBLE Francja Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Laurent Manivel (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
