Recorded 26 January 2026. Mingkun Liu of the Université de Paris XIII (Paris-Nord) presents "Length spectrum of random surfaces and random graphs" at IPAM's New Interactions Between Probability and Geometry Workshop. Abstract: After a brief historical review, I will explain how to pick a (uniform) random hyperbolic surface of genus g. We will then turn to the length spectrum, focusing in particular on the short closed geodesics on such a random surface. It turns out that, when the genus g is big, the lengths of these geodesics are distributed just like the short cycles in a large random metric map. This is a joint work with Simon Barazer and Alessandro Giacchetto. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/new-interactions-between-probability-and-geometry/?tab=overview