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Geometric Analysis Seminar

Metrics of constant Chern scalar curvature and a Chern-Calabi flow

Xi Sisi Shen (Columbia University)

Date & time: Tuesday, 01 March 2022 at 2:50PM - 3:50PM

Could you please announce the next geometric Analysis speaker for Tuesday, March 1st at 2:50pm?



Abstract: We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the K"ahler setting. In addition, we show how these estimates can be used to prove a convergence result for a Hermitian analogue of the Calabi flow on compact complex manifolds with vanishing first Bott-Chern class.

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