At some point in the future, it will become possible to derive gametes from embryonic pluripotent stem cells (PSCs). Differentiation of PCSs into eggs and sperm would provide researchers with a powerful tool for studying human gametogenesis. Perhaps even more importantly, it would allow infertile couples and same-sex couples to have offspring that is genetically related to both parents.
A 2008 report by the Hinxton Group—a global network of stem cell researchers—tentatively predicted in vitro genesis of human gametes between 2013 and 2023. A number of recent papers discuss advances in the field and remaining challenges ahead.  
When will the first human baby from stem cell-derived gametes be born?
The question will resolve as the date when a relevant announcement is made in one of the following media outlets: The New York Times, The Financial Times, The Washington Post, The Economist, The Wall Street Journal, The Associated Press, Reuters, or the BBC. The announcement should leave no doubt that the live birth occurred and that the baby was conceived from stem cell-derived gametes. The question resolves retroactively 12 months before publication of the announcement.
If this does not occur between August 1, 2020 to January 1, 2050, this question will resolve as Ambiguous.