This lecture is a celebration of arguably the greatest scientific revolution to date: the invention of quantum mechanics just over 100 years ago. Unlike their more simplistic precursors, the theories developed by Heisenberg, Schrödinger and Dirac applied to highly complex systems, leading to a vast number of technological breakthroughs that continue to shape our modern world. After presenting a few historic highlights, the lecture will focus on the question of chaos in quantum systems, and some of the beautiful discoveries made by physicists and mathematicians over the past decades.