  Given a holomorphic germ at the origin of C with a simple parabolic fixed
point, the local dynamics is classically described by means of pairs of
attracting and repelling Fatou coordinates and the corresponding pairs of horn
maps, of crucial importance for \'Ecalle-Voronin's classification result and
the definition of the parabolic renormalization operator. We revisit \'Ecalle's
approach to the construction of Fatou coordinates, which relies on
Borel-Laplace summation, and give an original and self-contained proof of their
resurgent character.
