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Explore the factorisation puzzle in AdS/CFT and its potential resolution through a comprehensive lecture by Victor-Luca Iliesiu at ICBS2024. Delve into the intricate world of two-sided black holes and their description in the tensor product of Hilbert spaces associated with asymptotic boundaries. Discover how the bulk Hilbert space factorises due to non-perturbative contributions of spacetime wormholes, and learn about the persistence of this factorisation to all non-perturbative orders in $1/G_N$. Examine the implications for the gravitational path integral and gain insights into the transition of one-sided observables' algebra from Type II or Type III to a Type I factor when including non-perturbative corrections. Gain a deeper understanding of this important open problem in holography and its potential solution through this hour-long exploration of advanced concepts in theoretical physics.
