CORDIS Project
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This project focuses on the existence of specific metrics in Kaehler geometry, particularly concerning the stability of polarized manifolds. It aims to develop algebraic criteria and study the effects of symplectic reduction and flow dynamics on these mathematical structures.
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 a…
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