Long Li (14/02/2019)

Valentina Giangreco, February 8, 2019

Math Colloquium


Speaker: Long Li

Title: On the constant scalar curvature Kaehler metrics with cone like singularities along divisors

Location: V-258, VR-II
Time: Thursday February 14 at kl. 11.40

Abstract:

In this talk, we will discuss the uniqueness and the existence problems for the constant scalar curvature Kaehler(cscK) metrics with conic singularities along divisors, on a compact complex Kaehler 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 Kaehler 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.