Abstract: We obtain necessary conditions for the existence of special Kähler structures with isolated singularities on compact Riemann surfaces. We prove that these conditions are also sufficient in the case of the Riemann sphere and, moreover, we determine the whole moduli space of special Kähler structures with fixed singularities. The tool we develop for this aim is a correspondence between special Kähler structures and pairs consisting of a cubic differential and a hyperbolic metric. This is a joint work with Andriy Haydys at Freiburg University.

报 告 人: 许斌 副教授 中国科学技术大学数学科学学院

报告时间：2018年10月24日（星期三）下午15：00~17:00

报告地点：数学科学学院38号楼报告厅

主办单位：数学科学学院

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