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Explore the challenges and limitations of robust Koopman learning in this 27-minute conference talk by Matthew Colbrook from the University of Cambridge. Delivered as part of the Fourth Symposium on Machine Learning and Dynamical Systems at the Fields Institute, delve into the theoretical and practical barriers that researchers face when applying Koopman operator theory to complex dynamical systems. Gain insights into the latest developments in this field and understand the potential implications for future research in machine learning and dynamical systems.