[Zoom Seminar] Quantum Gravity and the Coarse Geometry of the Brownian Continuum Random Tree | Dr. Christy Kelly (iTHEMS, RIKEN)

The speaker: Dr. Christy Kelly (iTHEMS, RIKEN)

Title:  Quantum Gravity and the Coarse Geometry of the Brownian Continuum Random Tree

Abstract: The Brownian continuum random tree is a random fractal that appears as a universal scaling limit of many random tree-valued processes. It also describes a geometric model of the branched polymer phase appearing in approaches to quantum gravity such as Euclidean dynamical triangulations. In this talk we describe a recent result on the coarse geometry of the Brownian continuum random tree appearing in https://arxiv.org/abs/2312.01894 and describe the physical ramifications for constructive approaches to Euclidean quantum gravity. In particular we use the Ollivier curvature of optimal transport theory to show that the Brownian continuum random tree is infinitely hyperbolic; this suggests that a construction of the Euclidean path-integral measure taking gravitational degrees of freedom into account should not be concentrated in the branched polymer phase. 

Date and time: 21st May Wedensday at 16:00

Location: L4F01

Zoom Information:

https://oist.zoom.us/j/93457386359?pwd=abYoPGJqIIbbdrEMvfX3FwTH8zGpjg.1

【Recording】