中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 张科伟 教授 （北京师范大学）
Inviter: 邱国寰
Language: Chinese
Title: Aubin-Yau type equations and the cscK problem in Kahler geometry
Time & Venue: 2026年7月24日（星期五） 10:00-11:00 思源楼S813
Abstract: We show that the entropy in Kahler geometry can be expressed as the derivative of the Monge-Ampere energy along some Aubin--Yau type path. We also present a non-Archimedean version of this statement. Such considerations lead to a new norm for test configurations. And we show that the existence of cscK metrics is equivalent to uniform K-stability with respect to this norm.
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