Benjamin Dozier (Cornell University)


Friday January 27, 2023
2:30 pm - 3:30 pm


Jeffery Hall, Room 234

Math & 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.