On the conformal structure of random planar maps

Vortrag von Dr. Xin Sun

Datum: 22.11.17  Zeit: 17.15 - 18.15  Raum: ETH HG G 43

Liouville quantum gravity is a random surface which is conjectured to describe the scaling limit of conformally embedded random planar maps. We present some progress on a program towards proving this conjecture in the case of uniform triangulations, using a percolation-based embedding which we call the Cardy embedding. Based on joint works with Bernardi, Garban, Gwynne, Holden, Lawler, Li, Miller, Sepulveda, and Sheffield.