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Dive into the world of tensor networks with this comprehensive lecture by David Pérez-García from Universidad Complutense de Madrid, delivered at the Institute for Advanced Study's Workshop on Quantum Information and Physics. Explore the fundamental concepts and applications of tensor networks in quantum information theory and condensed matter physics. Gain insights into the mathematical structures and computational techniques used to represent and analyze complex quantum systems efficiently. Learn about the latest developments and research directions in this rapidly evolving field, including applications to quantum many-body systems, quantum error correction, and quantum machine learning. Enhance your understanding of the interplay between quantum information, condensed matter physics, and computational methods through this in-depth presentation by a leading expert in the field.