Liouville and JT Quantum Gravity - Holography and Matrix Models

I will discuss recent progress in understanding quantum gravity amplitudes (partition function, boundary correlation functions and multiboundary amplitudes) in Liouville gravity, and how they limit to Jackiw-Teitelboim (JT) amplitudes. I will provide two perspectives on the results: the Liouville gravity answers look like q-deformations of the JT answers, and Liouville gravity can be related to a 2d dilaton gravity with a sinh dilaton potential. Based largely on arXiv:2006.07072 and 2007.00998.