Speaker: Yueqiao Wu, J.J. Sylvester Assistant Professor, Johns Hopkins University. 

Time: 09:00-10:00 a.m., Nov 27, 2024, GMT+8

Venue: online, Zoom: 872 4642 0257, Password: 760606

Abstract: 

Local K-stability is the algebro-geometric criterion for the existence of a Ricci-flat Kähler cone metric on a log Fano cone singularity, which itself is a generalization of affine cones over Fano varieties. By a result of Li-Xu, to test K-stability of Fano varieties, it suffices to test the so-called ‘special’ test configurations. In this talk, we will talk about a local version of this result for log Fano cone singularities. Our method relies on a non-Archimedean characterization of local K-stability. This is joint work with Yuchen Liu.

Source: School of Mathematical Sciences, PKU