Compactness of Conformally Compact Einstein Manifolds in Dimension 4

Name: Compactness of Conformally Compact Einstein Manifolds in Dimension 4
Uploaded: 2019-05-06T07:00:04.000Z
Duration: 59 min 27 s
Channel: Sun-Yung Chang
Description: Sun-Yung Chang presents joint work on the compactness of conformally compact Einstein manifolds in dimension 4, examining boundary behavior and related elliptic…

Sun-Yung Chang

Princeton University·Sun-Yung Chang

59:27

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Compactness of Conformally Compact Einstein Manifolds in Dimension 4

Sun-Yung Chang Princeton University

59:27·2019·research·Research Seminar

Sun-Yung Chang presents joint work on the compactness of conformally compact Einstein manifolds in dimension 4, examining boundary behavior and related elliptic systems.

Abstract: Given a class of conformally compact Einstein manifolds with boundary, we are interested to study the boundary behavior of their compactified metrics. I will report some joint work with Yuxin Ge on a compactness result in a 3+1 setting, which is a study of some 4th order elliptic system with some matching 3rd order boundary conditions and the correponding choice of conformal representatives

Mathematics Topology & Geometry Differential & Riemannian Geometry Geometric Analysis Einstein Manifolds Conformal Geometry

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Sun-Yung Chang

Eugene Higgins Professor of Mathematics at Princeton University

Sun-Yung Chang is a distinguished Professor of Mathematics at Princeton University, renowned for her profound contributions to geometric analysis and partial differential equations.

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