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Compactness of conformally compact Einstein manifolds in dimension 4

Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016

March 23, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Sun-Yung Chang (Princeton University)
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

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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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