On the algebraic uniqueness of Kaehler-Ricci flow limits on Fano manifolds

On the algebraic uniqueness of Kaehler-Ricci flow limits on Fano manifolds

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Chi Li, Rutgers University
Fine Hall 314

In-Person and Online Talk 

Zoom linkhttps://princeton.zoom.us/j/594605776

Let X be a Fano manifold. The Hamilton-Tian conjecture, which has been studied by Perelman, Tian-Zhang, Chen-Wang, Bamler and others, states that the normalized Kaehler-Ricci flow on X converges in the Gromov-Hausdorff topology to a possibly singular Kaehler-Ricci soliton as the time goes to infinity. Chen-Sun-Wang further conjectured that the limit space does not depend on the initial Kaehler metric but depends only on the algebraic structure of X.

I will discuss a joint work with Jiyuan Han, which confirms this uniqueness conjecture. Our result has applications in identifying limits in concrete examples.