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Mass in Kaehler Geometry

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Metric and Analytic Aspects of Moduli Spaces

Given an ALE (asymptotically locally Euclidean) Riemannian manifold, one can define a real number called its mass that measures an important feature of the asymptotic geometry. In this lecture, I will describe a new result that offers a reinterpretation of the mass of ALE Kaehler manifolds. In the AE (asymptotically Euclidean) case, this not only implies the positive mass theorem for Kaehler manifolds, but also yields a Penrose-type inequality for the mass.

This talk is part of the Isaac Newton Institute Seminar Series series.

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