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Title:
Toric aspects of the Einstein--Maxwell equations
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Abstract:
In this talk, I will explain how the geometry of conformally K\”ahler, Hermitian metrics $(g, J)$ with $J$-invariant Ricci tensor and constant scalar curvature fits in into the general framework of toric geometry of Abreu’s equation, developed by M. Abreu, S. Donaldson, Zhou--Zhu, etc. This class of metrics, which includes CSC K\”ahler and Einstein metrics, provides in real dimension four a Riemannian counter-part of the
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