Explore rigidity theory applications in Gaussian graphical models through this 42-minute Fields Institute lecture. Delve into the concept of maximum likelihood threshold for graphs, its significance in genomics, and how tools from rigidity theory provide insights. Learn about the relationship between convex optimization, global and local rigidity, and their implications for understanding maximum likelihood thresholds. Gain valuable knowledge on this collaborative research effort, bridging mathematical concepts with practical applications in data analysis and genomics.