Mathematical aspects of general relativity. Abstracts from the workshop held July 29 -- August 4, 2012. (Q343349)

Summary: Mathematical general relativity, the subject of this workshop, is a remarkable confluence of different areas of mathematics. Einstein's equation, the focus of mathematical relativity, is one of the most fruitful nonlinear hyperbolic PDE systems under study. As well, some of the most challenging geometric analysis problems in Reimannian geometry and elliptic PDE theory arise from the study of the initial data for Einstein's equations. In addition, these studies play a crucial role in modeling the physics of astrophysical and cosmological systems. This workshop reflected the rapid progress seen in the field in recent years, and highlighted some of the most interesting questions under study in mathematical relativity.