Speaker: Zehao Sha (IMFP)
Time: 14:30-15:30, Apr 2, 2026
Venue: room 1329, Building 1 (Section A), New Campus of USTC Shanghai Institute for Advanced Studies & Tencent Meeting ID: 942 663 0176, no password
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
