  In this brief proceedings article I summarize the review talk I gave at the
IAU 246 meeting in Capri, Italy, glossing over the well-known results from the
literature, but paying particular attention to new, previously unpublished
material. This new material includes a careful comparison of the apparently
contradictory results of two independent methods used to simulate the evolution
of binary populations in dense stellar systems (the direct N-body method of
Hurley, et al. 2007 and the approximate Monte Carlo method of Ivanova, et al.
2005), that shows that the two methods may not actually yield contradictory
results, and suggests future work to more directly compare the two methods.
