Tuesday October 19th, 2021 | |
| Time: | 4:30 PM |
| Title: | Metrics of constant Chern scalar curvature and a Chern-Calabi flow |
| Speaker: | Xi Sisi Shen, Columbia University |
| Location: | Online |
| 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 Kähler 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. | |