Higher Topological Complexity of a Map

Explore the concept of higher topological complexity of a map in this lecture from the Applied Algebraic Topology Network. Delve into the extensions of Farber's topological complexity of a space, including TC_r(X) introduced by Rudyak and TC(f) by Pavevsic. Discover a new unified notion, TC_{r,s}(f), which combines Farber-Rudyak's usual TC and Pavesic-Scott-Wu-Murillo TC of maps. Understand its relevance in r-multitasking motion planning problems for robot devices, particularly when the forward kinematics map is involved in s prescribed stages of the motion task. Gain insights into this advanced topic in applied algebraic topology over the course of an hour-long presentation.