香蕉视频

Title: A compactness result along a general continuity path in the study of Kahler-Einstein problem on Fano manifolds
Abstract: Recent years, Tian and CDS proved the folklore Yau-Tian-Donaldson conjecture based on the study in the continuity path of conical Kahler-Einstein metrics. After that G. Szekelyhidi showed that similar work could be established along Aubin's continuity path. In this talk I will consider a more general continuity path mixed with conic singularities and a torsion term. I will focus on the compactness along the continuity path and show the geometric structure of the limit space. If time permits I will briefly discuss how these results lead to a new proof of Yau-Tian-Donaldson conjecture based on this general continuity path. This is joint with Feng and Ge.