Explore the intricate world of directed graphs and their C*-algebras in this comprehensive two-hour lecture by Jack Spielberg from Arizona State University. Delve into variations on directed graphs, starting with an introduction and outline before uncovering the origin myth and diving into proofs. Examine key concepts such as boundaries, partial dynamics, topological freedom, and amenability. Investigate open sets, standard procedures, and Bernoulli shifts. Analyze directed paths, matrix amorphisms, and shifts of finite type. Gain a deeper understanding of the mathematical identities associated with these structures in this in-depth presentation from the Banach Center.