# Benjamin Dozier (Cornell University)

Date

Friday January 27, 20232:30 pm - 3:30 pm

Location

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.