Explore a 28-minute lecture on generalizations of Morse graphs and Reeb graphs in dynamical systems. Delve into the connections between algebraic topology and flow analysis, covering topics such as reductions of dynamical systems, CW decompositions, and the detection of original flows from time-one maps. Learn about abstract weak orbits, Reeb graphs as abstract orbit spaces, and the relationship between Conley theory and Morse graphs. Gain insights into existing topological invariants of flows and fundamental notations used in the field. This talk, presented by Tomoo Yokoyama for the Applied Algebraic Topology Network, offers a comprehensive overview of advanced concepts in the study of flows and their topological representations.