08-22【魏志强】Reducible CSC-1 conformal conical metrics on compact Riemann surfaces

发布时间:2023-08-22来源:几何与物理研究中心中文网页浏览次数:11

报告人:魏志强(河南大学)

时间:2023年8月22日14:30-15:30

地点:物质科研楼C1124



In this talk, we will explain that any reducible (CSC-1 conformal conical) metric on a compact Riemann surface can be divided into a finite number of pieces by cutting along some geodesics such that each piece is isometric to a football.  As an application, we give a new proof of the angle constraint for such metrics. Moreover, we will talk about the on-going work about limit of a family of reducible metrics defined by a meromorphic one-form. This work is joint with Yingyi Wu and Bin Xu.