The results from the Planck satellite have provided excellent constraints on many cosmological parameters allowing us to probe the physics of inflation. While all observations are currently consistent with the simplest models of inflation, many more complicated scenarios are also consistent with the data. In this talk, I will focus on the theoretical aspects of inflation in light of the Planck data. I will highlight a few observables which are measured by Planck and discuss how future observations will give us non-trivial information about the physics of the early universe.