The black hole information problem has been a challenge since Hawking's
original 1975 paper. It led to the discovery of AdS/CFT, which gave a partial
resolution of the paradox. However, recent developments, in particular the
firewall puzzle, show that there is much that we do not understand. I review
the black hole, Hawking radiation, and the Page curve, and the classic form of
the paradox. I discuss AdS/CFT as a partial resolution. I then discuss black
hole complementarity and its limitations, leading to many proposals for
different kinds of `drama.' I conclude with some recent ideas.Comment: 45 pages. Presented at the 2014-15 Jerusalem Winter School and the
2015 TAS