Probability Seminar: Thomas Budzinski
Topic
Hyperbolic surfaces with small diameter
Speakers
Details
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.
Additional Information
Location: ESB 1012
Thomas Budzinski, UBC
Thomas Budzinski, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
October 23, 2019
Time
-
Location