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科学研究
The Chern-Ricci Flow on Hermitian Manifolds
发布时间:2018-04-18浏览次数:

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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