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Explore the intricacies of compact quantum surfaces in this two-hour lecture delivered by Elmar Wagner from Universidad Michoacana, Mexico. Delve into the fundamental concepts and advanced theories surrounding this fascinating topic in quantum physics. Gain insights into the mathematical foundations and physical implications of compact quantum surfaces, enhancing your understanding of quantum geometry and topology. Discover how these concepts apply to various areas of physics and mathematics, including quantum field theory and condensed matter physics.