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Explore the intricate relationship between complex Anti-de Sitter (AdS) black holes and their thermodynamic properties in this 16-minute conference talk delivered at the International Centre for Theoretical Sciences during the In House 2025 Symposium. Delve into advanced theoretical physics concepts as the speaker examines the mathematical framework governing complex AdS spacetimes and investigates how thermodynamic principles apply to these exotic black hole solutions. Gain insights into the interplay between geometry, topology, and thermal behavior in higher-dimensional gravitational systems, while discovering how complex coordinates and analytic continuation techniques reveal new perspectives on black hole physics and the holographic principle.
