Distributional and Intertwining Invariants of Manifolds

Explore a mathematical lecture that delves into distributional and intertwining invariants of manifolds, focusing on recent developments in LS-category and sequential topological complexity. Learn about sufficient conditions for distributional LS-category of closed manifolds to reach maximum values, with practical applications in essential manifolds, connected sums, and 3-manifolds. Discover how intertwining complexity relates to motion planning and examine cohomological lower bounds for determining intertwining category and complexity of closed manifolds. Gain insights into current research challenges through discussion of open problems in the field of algebraic topology.