Compactness of conformally compact Einstein manifolds in dimension 4
Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016
Location: MSRI: Simons Auditorium
algebraic geometry and GAGA
mathematical physics
complex differential geometry
Kahler metric
mirror symmetry
Einstein manifolds
compactifications of moduli spaces
elliptic systems
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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
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