EVENT DETAILS AND ABSTRACT

Title: K-stability for Sasakian manifolds
Speaker: Tristan Collins
Speaker Info: Columbia University
Brief Description:
Special Note:
Abstract:

I will introduce a notion of K-semistability for Sasakian manifolds. This extends to the irregular case the orbifold K-semistability of Ross-Thomas. Our main result is that a Sasakian manifold with constant scalar curvature is necessarily K-semistable. As an application, I will show how one can recover the volume minimization results of Martelli-Sparks-Yau, and the Lichnerowicz obstruction of Gauntlett-Martelli-Sparks-Yau from this point of view. Joint with G. Székelyhidi.