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Explore the cutting-edge research on constraints in quantum gravity theories through this 49-minute lecture by Hirosi Ooguri at BIMSA. Delve into the limitations of low-energy effective theories of quantum gravity that transcend the standard Wilsonian paradigm. Examine the formulation and investigation of these constraints in asymptotically anti-de Sitter spacetimes using the AdS/CFT correspondence. Review Ooguri's collaborative work with Daniel Harlow on symmetry constraints in quantum gravity. Discover recent advancements in the holographic approach, including the proof developed by Ooguri and Yifan Wang that validates and enhances a portion of the Distance Conjecture proposed by Ooguri and Cumrun Vafa in 2006.