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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

Tags/Keywords

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

Video

14466

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

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Video/Audio Files

14466

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