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Complex Geometry: Calabi flow and Generalized Calabi metrics March 14, 2016 (11:00 AM PDT - 12:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Hongnian Huang (University of New Mexico)
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The Calabi flow is a 4th order parabolic geometrical flow proposed by Calabi in 1980s to search for the canonical metrics (extremal metrics) in a given Kaehler class. The main conjectures in the study of the Calabi flow are the global behavior of the Calabi flow (S. Donaldson) and the long time existence of the Calabi flow (X. Chen).  


In this talk, we will discuss several a-priori estimates of the Calabi flow in projective bundles admitting generalized Calabi metrics introduced by Apostolov-Calderbank-Gauduchon-Tonnesen-Friedman.

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