Abstract: It is an outstanding question in quantum gravity to describe the precise process in which the classical spacetime geometry emerges from a quantum state. I will describe recent joint work with Robert Berman and Tristan Collins where we propose a construction in the context of the gauge/gravity correspondence, that produces the classical geometry from a quantum state at the boundary of spacetime. This result draws upon, and extends, recent developments in mathematics, in the so-called probabilistic approach to Kähler-Einstein geometry.
