Algebraic Geometry Seminar
Sasaki-Einstein metrics and K-stability
Abstract: We show that a polarized affine variety admits a Ricci flat K\"ahler cone metric, if it is K-stable. This generalizes Chen-Donaldson-Sun's solution of the Yau-Tian-Donaldson conjecture to K\"ahler cones, or equivalently, Sasakian manifolds. As an application we show that the five-sphere admits infinitely many families of Sasaki-Einstein metrics.
Tuesday November 15, 2016 at 11:00 AM in SEO 612