Algebraic K-stability theory of Fano varieties

Event time: 
Wednesday, February 26, 2020 - 4:15pm
LOM 215
Chenyang Xu
Speaker affiliation: 
Massachusetts Institute of Technology
Event description: 

Abstract: The notion of K-stability has been first defined by differential geometers to characterise the existence of canonical metrics on a polarised variety. In the case of Fano varieties, where K-stability corresponds to the existence of a Kahler-Einstein metric, the purely algebraic study of K-stability now has become an independent subject in higher dimensional algebraic geometry, which attracts lots of recent interests. In our lecture, we will explain abundant recent progress that people have made by using deep machinery such as the minimal model program. We will also discuss some remaining challenging questions.