A non-Archimedean characterization of local K-stability

Yueqiao Wu, IAS
Fine Hall 322

Log Fano cone singularities are generalizations of affine cones over Fano varieties. Motivated by the study of canonical metrics on Fano varieties, there is a local K-stability theory characterizing the existence of Ricci-flat K\"ahler cone metrics on log Fano cone singularities. In this talk, we aim to give a non-Archimedean characterization of local K-stability. As an application, we will see that to test local K-semistability, it suffices to test special test configurations.