Obiettivo The problem of finding canonical Kaehler metrics on compact manifolds is central in Kaehler geometry. Since the pioneering work of Calabi, the existence problem for Kaehler-Einstein (and more generally constant scalar curvature, or even extremal Kaehler) metrics has attracted considerable attention. In this circle of ideas the most fascinating problem is represented by the so-called Yau-Tian-Donaldson conjecture, which predict the equivalence between the K-polystability of a polarized manifold and the existence of a constant scalar curvature (or more generally extremal) Kaehler metric in the polarization class. In this vein we propose the following three main research objectives: first, find an algebraic criterion for K-stability of polarized manifolds; second, study the effect of symplectic reduction on relative K-stability; third study the Calabi flow (in particular on toric manifolds) adapting the La Nave-Tian and Arezzo-La Nave approach to the Kahhler-Ricci flow. We propose to develop the research at Princeton University, under the superfision of prof. G. Tian, and Parma University, under the supervision of prof. C. Arezzo. Campo scientifico natural sciencesmathematicspure mathematicsgeometry 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) FP7-PEOPLE-2009-IOF - Marie Curie Action: "International Outgoing Fellowships for Career Development" Invito a presentare proposte FP7-PEOPLE-2009-IOF Vedi altri progetti per questo bando Meccanismo di finanziamento MC-IOF - International Outgoing Fellowships (IOF) Coordinatore UNIVERSITA DEGLI STUDI DI PARMA Contributo UE € 228 804,70 Indirizzo VIA UNIVERSITA 12 43121 PARMA Italia Mostra sulla mappa Regione Nord-Est Emilia-Romagna Parma Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Claudio Arezzo (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato
