Algebraic Geometry Seminar
Gabor Szekelyhidi
Notre Dame
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