Time：14:00-15:00, Thursday, December 4 2025
Venue：E4-201
Host：Jiyuan Han, ITS
Speaker：Yi Yao，Hunan University
Title：Maximal destabilizers for Chow and K-stability
Abstract：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.
