Event time:

Wednesday, February 26, 2020 - 4:15pm

Location:

LOM 215

Speaker:

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.

Research Area(s):