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Geometric Analysis Seminar

Immortal solutions of the Kähler-Ricci flow

Valentino Tosatti

Location:  Hill-705
Date & time: Tuesday, 27 February 2024 at 2:50PM - 3:50PM

I will discuss the problem of understanding the long-time behavior of Ricci flow on a compact Kähler manifold, assuming that a solution exists for all positive time. Inspired by an analogy with the minimal model program in algebraic geometry, Song and Tian posed several conjectures which describe this behavior. I will report on recent work (joint with Hein and Lee) which confirms these conjectures.