10-30【姚懿】Maximal destabilizers for Chow and K-stability

发布时间:2025-10-10来源:几何与物理研究中心中文网页浏览次数:87

报告人:姚懿(湖南大学)

时间:2025年10月30日10:30-11:30  

地点:物质科研楼C1124


 

When Kahler manifold (X, L) admits cscK metrics, Donaldson uses the balanced metrics to quantize the cscK metrics. In the opposite case, if (X, L) is K-unstable, then the Kodaira embedding of X via |kL| would be Chow-unstable when k is large enough. In this case, we have a maximal K-destabilizer due to Xia and Li, and a sequence of maximal Chow-destabilizers due to Kempf. A natural question is whether the latter will converge to the former in a certain sense. We propose a variational approach based on Boucksom-Jonsson's non-Archimedean pluripotential theory. We shall start with the toric setting, where things become very concrete.