Probability Seminar: Thomas Budzinski

  • Date: 10/23/2019
  • Time: 15:00
Thomas Budzinski, UBC

University of British Columbia


Hyperbolic surfaces with small diameter


What is the minimal possible diameter of a hyperbolic surface (i.e. with constant curvature equal to -1) of genus g? We will prove that it is asymptotic to log(g). While the lower bound follows from a simple volume growth argument, the upper bound is obtained by considering a model of random hyperbolic surfaces, which we analyse by adapting techniques from the study of random graphs. Based on joint work with Nicolas Curien and Bram Petri.

Other Information: 

Location:  ESB 1012