Geometric Analysis and Topology Seminar

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Diameter estimates in Kahler geometry

Speaker: Bin Guo, Rutgers Newark

Location: Warren Weaver Hall 512

Videoconference link: https://nyu.zoom.us/j/95759976381

Date: Friday, November 18, 2022, 11 a.m.

Synopsis:

I will present a recent joint work with D.H. Phong, J. Song and J. Sturm on the diameter estimate and noncollapsing for Kahler metrics, which are uniform in a bounded set of the Kahler cone and require only certain integral bound of the volume form, and no assumptions on Ricci curvature are needed.  As applications, diameter bounds are obtained for long-time solutions of the Kähler-Ricci flow and finite-time solutions when the limiting class is big.