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The conformal method of constructing Cauchy data for the Einstein equations

Introductory Workshop: Mathematical Relativity September 09, 2013 - September 13, 2013

September 10, 2013 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): David Maxwell (University of Alaska)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

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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