Featured Speaker: Chenyang Xu (MIT)

Title: Valuative criterion for K-stability

Abstract: I substitute the original speaker Kento Fujita, who has to cancel his trip. In this talk, I will survey the development of algebraic geometer’s understanding of K-stability of Fano varieties. K-stability was originally defined by Tian and Donaldson. Later, Fujita and Li found an equivalent valuative criterion to test K-stability. This has significantly improved the connection of K-stability with other branches of higher dimensional geometry, and underlies many recent improvements.