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学术活动

Canonical Heights, Periods and the Hurwitz Zeta Function

发布时间:2025-03-19

报告人 时间 14:00-17:00
地点 E4-201 2025
月日 03-20 重复类型
重复结束日期

时间:2025年3月20日(星期四),14:00-17:00

地点:E4-201


主持人:理论科学研究院 韩骥原

主讲人:南京大学 缪铭昊

报告主题:Canonical Heights, Periods and the Hurwitz Zeta Function

报告摘要:In this talk, I will report the work of Andreasson-Berman on canonical heights of arithmetric log pair with relatively ample (or anti-ample) log canonical line bundle. Canonical heights is defined as the (Arekelov-theoretic) height metrized by the Kahler-Einstein metic on the complexification of infinite place. The main result of Andreasson-Berman's work is the canonical height can be expressed as a limit of periods on the N-fold products, as N tends to infinity. As a corollary, the canonical heights of certain arithmetic log surfaces can be computed explicitly in terms of the Hurwitz zeta function.


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