Sequential Parametrized Topological Complexity of Sphere Bundles

Explore the concept of sequential parametrized motion planning in this 57-minute lecture from the Applied Algebraic Topology Network. Delve into the universal nature of sequential parametrized algorithms, where external conditions are part of the input rather than predetermined. Examine the sequential parametrized topological complexity of sphere bundles, focusing on how the Euler characteristic class provides a lower bound for topological complexity. Gain insights from the joint research of Amit Paul and Prof. Michael Farber as they present their findings on this advanced topic in applied algebraic topology.