20 février 2018

Yoshinori Hashimoto (Aix-Marseille Université)
Constant scalar curvature Kähler metrics with cone singularities and Futaki invariant

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Lieu : IMO ; salle 3L8.

Résumé : Kähler metrics with cone singularities along a divisor attracted much attention, particularly as they were used in the recent breakthrough in Kähler-Einstein metrics. As opposed to the Kähler-Einstein case in which techniques from pluripotential theory are available, many problems remain open for constant scalar curvature Kähler (cscK) metrics with cone singularities. In this talk, we construct new examples of conically singular cscK metrics and clarify its relation to algebraically defined Futaki invariant, giving a supporting evidence for the logarithmic version of the Yau-Tian-Donaldson conjecture.

Constant scalar curvature Kähler metrics with cone singularities and Futaki invariant  Version PDF