Résume | habauty is a classical method for computingthe rational points of curves of higher genus. In thistalk, we explain an adaptation of Chabauty whichallows us in many cases to compute all rational pointson the $d$-th symmetric power of a curve provided therank of the Mordell-Weil group of the Jacobian is atmost $g-d$ (where $g$ is the genus). We illustrate this bygiving two examples of genus $3$, one hyperelliptic andthe other plane quartic. |