The first axe of this research focuses on the role of the cerebellum which has a major contribution to sensorimotor adaptation and more precisely in saccadic adaptation but the nature of this contribution is still debated. A classical assumption stipulates cerebellum has an exclusive action on saccadic burst generator in the brainstem whereas recent data increasingly support the view that cerebellum could also modulates cerebral cortex through a cerebello-thalamo-cortical pathway. On the other hand, several studies have shown that modification of saccade amplitude by saccadic adaptation leads to a distortion of the visual localization of briefly flashed spatial probes but no study to date has tested, the contribution of the cerebellum in these adaptation-induced mislocalizations. The main objective of this axe is to define the role of the cerebellum not only in saccadic adaptation, but also in mislocalizations which occur after adaptation. Moreover, in testing this assumption, arguments in favour -or in disfavor- of the action of the cerebellum on cortical stages dedicated to visuo-spatial perceptual processing will be provided. Besides, variability of cerebellar lesion (or cerebellar dysfunction) location in patients can lead to different pattern in saccadic adaptation and localization task performances. Identification of dissociations between these two abilities in some patients will define more precisely the role of the cerebellum in the coupling between saccadic adaptation and visuo spatial perception as an oculomotor plasticity territory and / or as a territory underlying the error signal coding generating this type of plasticity.