Kähler Ricci flow on Fano manifold
Location: MSRI: Simons Auditorium
algebraic geometry and GAGA
complex differential geometry
Based on the compactness of the moduli of non-collapsed Calabi-Yau spaces with mild singularities, we set up a structure theory for polarized K\"ahler Ricci flows with proper geometric bounds. Our theory is a generalization of the structure theory of non-collapsed K\"ahler Einstein manifolds. As applications, we prove the Hamilton-Tian conjecture and the partial-C0
-conjecture of Tian
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