Explore the intricate world of graph theory and dynamical systems in this comprehensive lecture by Kevin Aguyar Brix from the University of Glasgow. Delve into topics such as labeling graphs, dynamics, orbits, and groupoids, while examining the concepts of conjugacy and continuous orbit equivalence. Learn about flow equivalence, gauge action, and balanced splits, culminating in a thought-provoking punchline. Engage with complex mathematical ideas and participate in a stimulating Q&A session to deepen your understanding of these advanced concepts.