报告人：沙泽浩（数学与基础物理高等研究所）
时间：2026年4月2日14:30-15:30
地点：上海研究院新园区1号楼A座1329&腾讯会议：942 663 0176，密码：202501
In this talk, I will introduce a systolic inequality on compact Kähler surfaces with positive scalar curvature (PSC). For a compact PSC Kähler surface $(X,\omega)$, I will explain how to prove the sharp inequality $\min_X S(\omega)\,\operatorname{sys}_2(\omega)\;\le\;12\pi$, with equality if $X\simeq \PP^2$ endowed with the Fubini-Study metric.
Using the classification of PSC Kähler surfaces by their minimal models, we then determine the optimal constant in each case and describe the corresponding rigid models. If time permits, I will introduce an independent analytic argument on non- rational PSC K\ahler surfaces, adapting Stern's level set method to the Kähler setting.
For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html
