PIRSA:20020072 Scientific Series Mathematical physics

DOI10.48660/20020072

Series: Mathematical Physics

Sun, X. (2020). Conformal geometry of random surfaces in 2D quantum gravity . Perimeter Institute. https://pirsa.org/20020072

Sun, Xin. Conformal geometry of random surfaces in 2D quantum gravity . Perimeter Institute, Feb. 20, 2020, https://pirsa.org/20020072 

@misc{ pirsa_PIRSA:20020072,
  doi = {10.48660/20020072},
  url = {https://pirsa.org/20020072},
  author = {Sun, Xin},
  keywords = {Mathematical physics},
  language = {en},
  title = {Conformal geometry of random surfaces in 2D quantum gravity },
  publisher = {Perimeter Institute},
  year = {2020},
  month = {feb},
  note = {PIRSA:20020072 see, \url{https://pirsa.org}}
}

Abstract

From a probabilistic perspective, 2D quantum gravity is the study of natural probability measures on the space of all possible geometries on a topological surface. One natural approach is to take scaling limits of discrete random surfaces. Another approach, known as Liouville quantum gravity (LQG), is via a direct description of the random metric under its conformal coordinate. In this talk, we review both approaches, featuring a joint work with N. Holden proving that uniformly sampled triangulations converge to the so called pure LQG under a certain discrete conformal embedding.

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