Explore the theoretical foundations connecting quantum field theory to Anti-de Sitter (AdS) black holes in this comprehensive lecture from the International Conference on Black Holes and Spacetime 2025. Delve into the mathematical frameworks and physical principles that demonstrate how AdS black holes emerge from quantum field theoretical considerations, examining the intricate relationships between gravity, quantum mechanics, and spacetime geometry. Learn about the holographic correspondence and its role in understanding black hole physics through the lens of conformal field theory, while investigating the thermodynamic properties and information-theoretic aspects of these exotic gravitational objects. Discover how modern theoretical physics approaches the study of black holes in AdS spacetimes, including discussions of entropy calculations, phase transitions, and the AdS/CFT correspondence that bridges quantum field theory with gravitational physics in curved spacetime.