Enrique Torres-Giese - Sequential Motion Planning Assisted by Group Actions

Explore sequential motion planning assisted by group actions in this 38-minute lecture from the Applied Algebraic Topology Network. Revisit the concepts of effectual and effective TC in the context of sequential motion planning, and discover how group actions can be incorporated into the study of the motion planning problem. Learn about orbital topological complexity, a third version of TC that integrates group actions into planners. Examine the relationships between these invariants and the TC of quotient spaces. Delve into calculations for actions of the group of order two on orientable surfaces and spheres. Gain insights into effective DC properties, un-effectual DC properties, and practical examples throughout the presentation.