Metrics of constant Chern scalar curvature and a Chern-Calabi flow
Channel: UMD Mathematics
Date: 2020-12-16

Speaker: Sisi Shen (Northwestern) 
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.