Cosmic microwave background cosmology with Planck

Planck is the third-generation space mission aimed at measuring the cosmic microwave background radiation, a relic of the hot Big Bang. Planck ultimate measurement of temperature fluctuations in the cosmic microwave background, together with its leading edge observations of polarization, allowed us to perform unprecedented tests of the cosmological model and derive stringent constraints of fundamental physics. The high sensitivity data also enabled us to obtain the most significant measurement to date of the gravitational lensing of the cosmic microwave background. This represents a novel observable for exploring thirteen billion years of structure formation in the universe. In the paper, I discuss some of the main cosmological constraints we obtained so far and their implications for the standard model of cosmology. I also highlight several key aspects in the data analysis process.