Maximal destabilizers for Chow and K-stability

2025-12-01 11:25:53

时间:2025年12月4日(星期四),14:00-15:00

地点:E4-201


主持人:韩骥原,理论科学研究院

主讲人:姚懿,湖南大学

报告主题:Maximal destabilizers for Chow and K-stability

报告摘要: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.