Explore a 41-minute conference talk on matrix models for the Eigenstate Thermalization Hypothesis (ETH) and random Conformal Field Theory (CFT) presented by Julian Sonner from Geneva. Delivered as part of the "Gravity from algebra: modern field theory methods for holography" conference at the Kavli Institute for Theoretical Physics, this lecture delves into recent developments in conformal field theory and their applications to holography and quantum gravity. Examine the connections between consistency conditions in quantum gravity and CFT, and investigate how these might naturally lead to string/M-theory. Gain insights into topics such as large N bootstrap, holographic CFTs, gravitational effective field theory, supersymmetry in holography, and the relationship between S-matrices and CFT correlators. Enhance your understanding of cutting-edge research at the intersection of conformal field theory, holography, and quantum gravity.