学术报告

The Chern-Ricci Flow on Hermitian Manifolds

阅读次数:1995

题目:The Chern-Ricci Flow on Hermitian Manifolds
报告人:郑涛 博士 (Institut Fourier, Université Grenoble Alpes)
地点:致远楼101室
时间:4月18日 9:00
报告摘要:In this talk, we will discuss the behavior of the Chern-Ricci flow (CRF) on Hermitian manifolds. The Chern-Ricci flow is an evolution equation for Hermitian metrics on complex manifolds.  In particular, we investigate the Chern-Ricci flow on Inoue surfaces which are non-K\"ahler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at
infinite time, in the sense of Gromov-Hausdorff. Similar convergence result also holds on  the Oeljeklaus-Toma(OT) manifolds, an analog of Inoue surface.
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