Explore global synchronization in a network of identical Kuramoto oscillators through this 53-minute lecture by Steven Strogatz. Delve into new theorems and puzzles surrounding the critical connectivity required for perfect synchrony. Examine the gap between upper and lower bounds on critical connectivity, investigate randomly connected networks, and learn about recent findings in the field. Gain insights into synchronization in nature, coupling topology, and waves in natural systems. Discover counterexamples, support patterns, and random graphs as they relate to global synchronization. Engage with the material through a comprehensive syllabus covering introduction, visualization techniques, new puzzles, strategies, and a concluding Q&A session.