Long Li (14/02/2019)

Valentina Giangreco, febrúar 8, 2019

Málstofa í stærðfræði

Fyrirlesari: Long Li, Háskóli Íslands

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

Staðsetning: V-258, VR-II
Tími: Fimmtudagur 14. febrúar kl. 11.40

Ágrip:

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.