Sasaki-Einstein metrics and K-stability

Geometry/Topology Seminar

Tristan Collins (Harvard University, Mathematics)

Friday, January 19, 2018 -
12:00pm to 1:00pm
Physics 119

I will discuss the connection between Sasaki-Einstein metrics and algebraic geometry in the guise of K-stability. In particular, I will give a differential geometric perspective on K-stability which arises from the Sasakian view point, and use K-stability to find infinitely many non-isometric Sasaki-Einstein metrics on the 5-sphere. This is joint work with G. Szekelyhidi.

Last updated: 2018/04/21 - 1:58pm