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Title:
The conformal method of constructing Cauchy data for the Einstein equations
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Abstract:
nitial data for the Cauchy problem in general relativity cannot be freely specified, but must solve an underdetermined system of PDEs known as the Einstein constraint equations. This two-part series of lectures discusses the conformal method and its cousins, which are the most prevalent techniques used for constructing solutions of the constraint equations. The talks will include a development of the conformal method, as well as a discussion of more recent results in the field and remaining open problems.
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