Modul: MAT075 Zurich Graduate Colloquium

## What is.. Benjamini-Schramm convergence?

Yannick Krifka talk

**Date:** 13.10.20 **Time:** 16.30 - 17.30 **Room:** KOL H312

In a seminal paper Benjamini and Schramm introduced a notion of distributional limits for finite graphs. In this talk I will give an elementary introduction to Benjamini—Schramm convergence of finite graphs. We will then see how to generalize this to the more geometric context of Riemannian manifolds. If time permits I will explain how this can be used to obtain a new compactification of the moduli space of finite area hyperbolic surfaces.