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Explore the intricate connections between the Sachdev-Ye-Kitaev (SYK) model, quantum chaos, and holographic duality in both anti-de Sitter and de Sitter spacetimes through this comprehensive conference talk delivered at the International Conference on Black holes, Strings and Holography 2025, where you'll delve into the mathematical frameworks that bridge condensed matter physics with gravitational theories, examine how the SYK model serves as a tractable example of holographic correspondence, investigate the emergence of chaotic behavior in quantum many-body systems and its implications for black hole physics, analyze the role of scrambling and information processing in holographic systems, understand the distinctions and similarities between AdS/CFT correspondence and potential dS/CFT dualities, and gain insights into how these theoretical developments contribute to our understanding of quantum gravity, thermalization in quantum systems, and the fundamental nature of spacetime geometry.
