Abstract: “The development of fast randomized algorithms for geometric path planning – computing collision-free paths for high dimensional systems – was a major achievement in the field of motion planning in the 2000’s. But since then, recent advances in affordable robot sensors, actuators, and systems have changed the robotics playing field, making many of the assumptions of geometric path planning obsolete. This talk will present new mathematical paradigms and algorithms that are beginning to address some of the issues faced in robotics today and into the future. Specifically, this talk will address the issues of optimality, plan interpretability, planning with contact, and integrating planning with perception and learning.”