Speaker: Jijian Song (Center for Applied Mathematics, Tianjin University)
Time: 10:00-11:00, Sep 5, 2024
Room: C1124, the Material and Science Research Building (section C)
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.
