Seminar | Institute of Mathematical Sciences
Time：10:30-11:30, Jan. 3, Thursday
Location：Room 302, Library
Speaker: Dr. Long Li, University of Iceland
Abstract: In this talk, we will discuss the uniqueness and the existence problems for the constant scalar curvature Kähler (cscK) metrics with conic singularities along divisors, on a compact complex Kähler manifold. The uniqueness of these conic cscK metrics follows from the convexity of the so called conic-Mabuchi functional along geodesics in the space of all conic Kähler metrics. The proof of the existence traces back to a conic version of Chen's continuity path for cscK metrics, and we will establish all the sufficient a prior estimates to prove the closedness of this continuity path.