Parametrized Topological Complexity of Hyperplane Arrangement Bundles

The course covers the parametrized approach to motion planning using fiber bundles, focusing on the topological complexity of hyperplane arrangement bundles. Students will learn about encoding flexibility for variable situations, understanding how external constraints impact the system, and solving parametrized motion planning problems in complex vector spaces. The teaching method involves theoretical discussions and combinatorial hypotheses. This course is intended for individuals interested in algebraic topology, motion planning, and combinatorial mathematics.