Asymptotics of the Ricci flow on quasiprojective varieties
by Frederic Rochon
Abstract: After a brief review on the Kahler-Ricci flow, we will consider Kahler metrics on quasiprojective varieties with a certain asymptotic behavior at infinity and show that this behavior is preserved as the metrics evolve according to the Kahler-Ricci flow. A key ingredient in our approach will be to compactify quasiprojective varieties by manifolds with corners. Time permitting, we will also discuss what happens to the limiting Kahler-Einstein metric when the flow converges. This is a joint work with Zhou Zhang.
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