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Explore the mathematical foundations of the AdS/CFT correspondence through this comprehensive lecture that examines the duality between Anti-de Sitter space and Conformal Field Theory to all orders, while investigating its behavior in the flat space limit. Delve into advanced theoretical physics concepts as the speaker presents rigorous mathematical frameworks and analytical techniques used to understand this fundamental correspondence in string theory and quantum gravity. Learn about the systematic approach to studying AdS/CFT at higher orders and discover how this correspondence behaves when transitioning to flat spacetime geometries. Gain insights into cutting-edge research methodologies and theoretical developments that bridge the gap between gravitational theories in curved spacetime and quantum field theories on their boundaries.
