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Learning Seminar on PDE and Applications

Volume comparison and its applications for the Ricci flow. II

Jian Song, Rutgers University

Location:  Zoom
Date & time: Tuesday, 15 December 2020 at 1:40PM - 3:40PM

Abstract: We will review the recent work of Bamler on volume estimates for the Ricci flow. We also show such estimates can be applied to establish and improve the relative volume comparison of Tian-Zhang for the Ricci flow. Finally, we prove a uniform diameter bound for long time solutions of the Kahler-Ricci flow, which is a natural extension of Perelman's diameter estimate for the Fano Ricci flow.

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