The strong suppression of high pt hadrons observed in heavy ion collisions at RHIC indicates the interaction of high energy partons with a dense colored medium prior to hadronization. I will briefly review the main results on high pt hadron suppression from RHIC and what they tell us about the medium. I will then concentrate on the new possibilities that the wider kinematic range at the LHC will offer and how they will help us to better characterize the medium produced in these collisions.