Modul:   MAT075  Zurich Graduate Colloquium

What is.. Brownian geometry?

Talk by Dr. Thomas Lehéricy

Date: 20.10.20  Time: 16.30 - 17.30  Room: KOL H312

Planar maps are graphs drawn on the sphere in such a way that their edges do not intersect, seen up to deformations of the underlying sphere. Given a map \(m\), we can equip the set of its vertices with the graph distance \(d\), where \(d(x,y)\) is the smallest number of edges of any path between \(x\) and \(y\). Doing so makes \(m\) into a metric space; picking \(m\) at random is a first step towards defining a "natural" random metric space: the Brownian map. I will present some objects and ideas of random maps.