报 告 人：许斌
工作单位：中国科技大学
报告时间：2019年6月28日,15:00-16:00
报告地点：学院一楼报告厅

报告摘要：Singular spherical, flat} and {\it hyperbolic metrics} are conformal metrics with constant curvature $+1,\,0$ and $-1$, respectively,  and with isolated singularities on Riemann surfaces. The Gauss-Bonnet formula gives a necessary condition for the existence of such three kinds of metrics with prescribed conical singularities on compact Riemann surfaces, and it is also sufficient for both cone flat and cone hyperbolic metrics. However, it is not the case for cone spherical metrics, whose existence has been an open problem over twenty years on compact Riemann surfaces.

I will introduce the respectful audience some progress on this problem and some recent results on singular flat metrics and hyperbolic metrics ones.

The talk is based my joint works with Qing Chen, Xuemiao Chen, Yiran Cheng, Yu Feng, Si-en Gong, Bo Li, Jin Li, Lingguang Li, Hongyi Liu, Santai Qu, Yiqian Shi, Jijian Song, Yingyi Wu, Xuwen Zhu.

报告人简介：
许斌，中国科技大学副教授，博士生导师，
已有的科研工作涉及曲面上奇异常曲率度量, 流形上的李变换群和流形上的谱分析，
现在的研究兴趣为黎曼曲面以及 Kaehler 流形上奇异度量以及对应的代数对象。