08-22【Zhiqiang Wei】Reducible CSC-1 conformal conical metrics on compact Riemann surfaces

Time:2023-08-20Views:12

Speaker: Zhiqiang Wei (Henan University)

Time: 14:30-15:30, Aug 22, 2023

Room: C1124, Material Science Research Building (Section C), USTC



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.