9-5【宋基建】Cone spherical metrics and parabolic vector bundles

发布时间:2024-09-01来源:几何与物理研究中心中文网页浏览次数:10

报告人:宋基建天津大学应用数学中心

时间:2024年9月5日 10:00-11:00

地点:物质科研楼C1124



Cone spherical metrics on compact Riemann surfaces are conformal metrics with curvature +1 and finitely many cone singularities. An open problem in the study of these metrics is whether there exists a cone spherical metric with prescribed singularities on a compact Riemann surface. In this talk, I will present a correspondence between cone spherical metrics and rank two polystable parabolic vector bundles with nontrivial meromorphic sections. This is a project in progress with Bin Xu.