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Mass in Kaehler Geometry

Presented by: 
C LeBrun Stony Brook University
Date: 
Friday 31st July 2015 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons