Interior and Evolution of Giant Planets and the Fate of Planetesimals in the Early Solar System Tristan Guillot Observatoire de la C\^ote d'Azur, Nice, France (guillot@obs-nice.fr) Abstract: Jupiter and Saturn consist mainly of hydrogen and helium. Yet the heavy elements they possess are the key to understanding their formation. I will present new constraints on their internal composition and structure, obtained both from interior and evolution models of these planets. These predict that Jupiter and Saturn possess a central core of 0 to 10, and 6 to 17 M$_\oplus$, and a total mass of heavy elements of $11-42$ and $19-31$ M$_\oplus$, respectively. Constraints on the structure of lighter Uranus and Neptune will also be discussed. I will also present results of new numerical integrations of the dynamical evolution of particles (planetesimals or cometesimals) in the early outer Solar System. The ultimate fate of the particles (ejection, transport to the Oort Cloud, impact with planets or leftovers in dynamically stable regions) critically depends on the characteristics of the young growing giant planets: their masses and radii. Constraints provided by interior and evolution models of the giant planets thus help to learn about their formation mechanisms, the characteristics of the early protosolar nebula, and the formation/storage of comets and planetesimals.