Density of rational points on elliptic fibrations-II
Des obstructions globales à la descente des revêtements
Diophantine approximation on algebraic varieties
We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.