Two-Parameter Persistent Homology of Second Configuration Spaces in Star Graphs

Explore the concept of configuration spaces in robot motion planning through this insightful lecture on 2-parameter persistent homology of second configuration spaces of star graphs. Delve into the mathematical foundations of arranging multiple robots without collisions, considering minimal nonzero distances between pairs. Gain a comprehensive understanding of nth configuration spaces with restraint parameters and edge length vectors for metric graphs. Examine the joint work with Murad Ozaydin on double filtration of second configuration spaces of metric star graphs, focusing on the 2-parameter persistence modules that arise from this analysis. Enhance your knowledge of applied algebraic topology and its applications in robotics and motion planning.