1) The talk discusses the origin of structure in the universe, from the small density fluctuations after the Big Bang to the galaxies, stars and planets we see today. 2) It explains how quantum fluctuations during an early period of exponential expansion called inflation were stretched to cosmological scales by inflation, seeding these initial density fluctuations. 3) The talk outlines how measurements of the cosmic microwave background have revealed correlations in the fluctuations that can only be explained by a period of inflation in the early universe that was faster than the speed of light.