Explore a 48-minute conference talk by Simon Caron Huot from McGill University, delivered at the Kavli Institute for Theoretical Physics as part of the "Gravity from algebra: modern field theory methods for holography" conference. Delve into the latest developments in conformal field theory (CFT) and its applications to holography and quantum gravity. Discover how consistency conditions in quantum gravity relate to CFT, and examine the potential connections to string/M-theory. Gain insights into topics such as large N bootstrap, holographic CFTs, gravitational effective field theory, supersymmetry in holography, low-dimensional holography, modularity, quantum chaos, black holes, gravitational path integrals, and the relationship between S-matrices and CFT correlators. Engage with cutting-edge research that bridges the gap between conformal field theory and holographic duality, presented by experts in the field.