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Explore the concept of fortuity in Sachdev-Ye-Kitaev (SYK) models through this comprehensive conference talk delivered at ICBS2025 by Chi-Ming Chang from BIMSA. Delve into the mathematical and physical foundations of SYK models, examining how random elements and chance occurrences influence these quantum mechanical systems that serve as toy models for black holes and quantum gravity. Investigate the role of disorder and randomness in the SYK framework, understanding how fortuity affects the model's behavior, thermodynamic properties, and connections to holographic duality. Analyze the implications of random interactions in these all-to-all coupled fermionic systems and their relevance to understanding quantum chaos, scrambling dynamics, and the emergence of near-conformal behavior at low temperatures. Gain insights into current research developments in theoretical physics where SYK models bridge condensed matter physics, high-energy physics, and quantum information theory.
