[:is]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.[:en]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.[:]