题目：Conical Conformal Metrics and Strebel Differentials on Riemann Surfaces

报告人：宋基建 博士 （中国科学技术大学）

地点：致远楼107室

时间：2017年04月28日（周五）08：30~09：30

【摘要】A conical conformal metric is a Hermitian metric on a Riemann surface with constant Gaussian curvature and isolated conical singularities. A fundamental problem of such metrics is whether there exists a conical conformal metric for any given prescribed singularities. In this talk, I will give a construction of conical conformal metric with positive constant curvature by a given Strebel differential. Then I will present a generalization of a well-known existence theorem by Kurt Strebel. As a consequence, we obtain an existence result for a new class of conical conformal metrics on Riemann surfaces.

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