# abstract

Analysis - Mathematical Physics | |

Topic: | Cardy embedding of random planar maps |

Speaker: | Nina Holden |

Affiliation: | ETH Zuerich |

Date: | Friday, December 6 |

Time/Room: | 3:30pm - 4:30pm/Simonyi Hall 101 |

Video Link: | https://video.ias.edu/analysis/2019/1206-NinaHolden |

A random planar map is a canonical model for a discrete random surface which is studied in probability theory, combinatorics, mathematical physics, and geometry. Liouville quantum gravity is a canonical model for a random 2D Riemannian manifold with roots in the physics literature. In a joint work with Xin Sun, we prove a strong relationship between these two natural models for random surfaces. Namely, we prove that the random planar map converges in the scaling limit to Liouville quantum gravity under a discrete conformal embedding which we call the Cardy embedding.