Explore holographic tensor networks in 2D conformal field theory through this 46-minute conference talk by Thomas Hartman from Cornell University. Delivered as part of the "Gravity from algebra: modern field theory methods for holography" conference at the Kavli Institute for Theoretical Physics, delve into the latest developments in conformal field theory language and its applications to holography and quantum gravity. Examine how consistency conditions in quantum gravity relate to those in CFT, and investigate their potential connections to string/M-theory. Gain insights into topics such as large N bootstrap, holographic CFTs dual to general relativity, CFT sum rules, gravitational effective field theory, supersymmetry in holography, low-dimensional holography, modularity, quantum chaos, black holes, and the relationship between S-matrices and CFT correlators in the context of holography beyond AdS.