Non-abelian gauge theories underly particle physics, including collision processes at particle accelerators. Recently, quantum scattering probabilities in gauge theories have been shown to be closely related to their counterparts in gravity theories, by the so-called "double copy". This suggests a deep relationship between two very different areas of physics, and may lead to new insights into quantum gravity, as well as novel new computational methods. This talk will review the double copy for amplitudes, before discussing how it may be extended to describe exact classical solutions such as black holes. I will then look at recent work which aims to generalise the double copy yet further, and conclude with an outlook of current open problems. ----- Follow the usual link or contact the organisers (Antoine Bourget and Edoardo Vescovi). Student introduction at 13:00.