中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
Some Topics in Several Complex Variables
代数几何研讨班
报告人：孙锐然（博士）（Universit？t Mainz）
题 目：A brief introduction to the Higgs bundle
时 间：2019.08.26（星期一）, 15:30-17:30
地 点：数学院南楼N902
摘 要：In his 1987 paper "the self-duality equations on a Riemann surface", Hitchin introduced the notion of Higgs bundles on a Riemann surface, motivated by self-duality equations which arose in mathematical physics. Later Simpson generalized Hitchin's construction to higher dimensional Kaehler manifolds and established the so called Hitchin-Simpson correspondence between Higgs bundles and local systems. In this talk I will give a brief introduction to the theory of Hitchin and Simpson, as well as some applications in complex geometry.
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报告人：Prof. Kang Zuo（Universit？t Mainz）
题 目：Iterated Kodaira-Spencer maps and the construction of Viehweg-Zuo sheaves
时 间：2019.08.27（星期二）, 9:30-11:30
地 点：数学院南楼N902
摘 要：In this lecture we first introduce the generalized Kodaira-Spencer maps for a given family. By using those maps we construct a Higgs bundle associated to the family. Then we explain how to use this Higgs bundle and the cyclic covering to find a big subsheaf in some symmetric power of the cotangent sheaf of the base space of the family, which is called the Viehweg-Zuo sheaf now.
