Random discrete surfaces

Speaker: Thomas Budzinski

Date: Wed, Sep 23, 2020

Location: Zoom, PIMS, University of British Columbia

Conference: Emergent Research: The PIMS Postdoctoral Fellow Seminar

Subject: Mathematics, Combinatorics, Probability, Topology

Class: Scientific


A triangulation of a surface is a way to divide it into a finite number of triangles. Let us pick a random triangulation uniformly among all those with a fixed size and genus. What can be said about the behaviour of these random geometric objects when the size gets large? We will investigate three different regimes: the planar case, the regime where the genus is not constrained, and the one where the genus is proportional to the size. Based on joint works with Baptiste Louf, Nicolas Curien and Bram Petri.