学术报告

数学系2008年10月20、21日学术报告《Variation of Hodge Structures,Local Systems and Higgs Cohomology》 [2009-05-07]

报告题目: Variation of Hodge Structures,Local Systems and Higgs Cohomology

报 告 人: 左康教授(德国Mainz大学)

报告时间: 2008年10月20、21日下午4:00-5:30

报告地点: 理化大楼16008

主办单位: 数学系、数学所

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Abstract: In my lecture as a motivation I shall first consider the Legendre family of elliptic curves,and the VHS attached to this family. Then I shall introduce the corresponding Higgs bundle, and the $L_2$-Higgs cohomology, which recovers the so-called Eichler-Shimura Isomorphism and modular forms. As the further example we consider the mirror family of CY quintics, we give an interpretation of the zero
locus of Yukawa-coupling and (2,2) classes on the total space of the mirror family.