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Explore advanced theoretical physics concepts in this conference talk featuring two distinguished speakers presenting cutting-edge research on bootstrap methods and quantum gravity. Learn about theorems for the lightcone and modular bootstrap from Balt Van Rees, gaining insights into mathematical frameworks that constrain conformal field theories through consistency conditions. Discover Thomas Hartman's work on triangulating quantum gravity in AdS_3, examining geometric approaches to understanding quantum gravitational systems in three-dimensional Anti-de Sitter space. Delve into sophisticated mathematical techniques used in modern theoretical physics, including bootstrap methods that leverage crossing symmetry and unitarity to extract physical information without traditional Lagrangian approaches. Examine the intersection of conformal field theory, holographic duality, and quantum gravity through rigorous mathematical analysis. Understand how modular invariance and lightcone constraints provide powerful tools for studying strongly coupled quantum systems. Investigate the geometric structure of quantum gravity theories and their relationship to boundary conformal field theories through triangulation methods.
