The Complexity of Spacetime

Recent work with Aristotelis Panagiotopoulos and Marios Christodoulou has shown that spacetimes are at least as complicated as the process of Jacob Bernoulli.  Can we improve upon this result?  Just how complicated is relativity? Based on discussions with Jonathan Holland, we will analyze possible ways to apply results of Greg Hjorth on foliated complex two manifolds to this problem.