The Martian elastic lithosphere is known to have thickened substantially over time and values have grown from 10 km during the Noachian to more than 100 km in the Amazonian periods. Furthermore, radar data indicate that the present-day elastic lithosphere thickness is more than 300 km at the north pole today, a value considerably larger than expected from spherically symmetric thermal evolution models. In this meeting we will discuss the presently available data and models of the Martian elastic lithosphere, and try to define the next steps to improve our understanding of the thermal evolution of the planet.