A survey of recent progress in general relativity

In this talk we will survey recent progress which has been made in the mathematical theory of general relativity. This will include a discussion of the work of Huisken, Ilmanen, and Bray on the Penrose conjecture and the new understanding of quasilocal mass which it gives. We will also describe recent work of Corvino and the speaker on the asymptotic behavior of solutions of the vacuum Einstein equations.