Equivariant K-stability and evaluative criteria

Conférencier: Ziwen Zhu, Peking University

Résumé / Abstract:Equivariant K-stability of Fano varieties is defined via equivariant test configurations. By definition it is weaker than usual K-stability. However, for Fano varieties with large symmetry, it is often easier to check equivariant K-stability. Valuative criterion is developed by Chi Li and Kento Fujita to characterize K-stability using valuations. In this talk, I will show that there is a parallel theory for equivariant K-stability by introducing pseudovaluations. As an application, I will discuss how it can be applied to study K-stability of Fano varieties under finite group action. The talk is partially based on joint work with Yuchen Liu. 

Le lien pour se connecter est: https://uqam.zoom.us/j/98999725241