Benjamin Dozier (Cornell University)
Date
Friday January 27, 20232:30 pm - 3:30 pm
Location
Jeffery Hall, Room 234Math & Stats Department Colloquium
Friday, January 27th, 2023
Time: 2:30 p.m. Place: Jeffery Hall, Room 234
Speaker: Benjamin Dozier (Cornell University)
Title: Random hyperbolic surfaces and random regular graphs
Abstract: I will discuss the burgeoning field of random hyperbolic geometry. An important source of inspiration is the analogy between random hyperbolic surfaces and random regular graphs, rich objects which have been studied for many years. Both random objects tends to have good ``expansion properties'': mixing happens very quickly, they cannot be separated into big pieces by a cut of small length, and the Laplace operator has uniform spectral gap. I will end with some recent results on counting simple closed geodesics in both settings, joint with Jenya Sapir.