01:12:56
published on June 11, 2026
On actions of braid groups on triangulated categories arising in cluster theory
By Bernhard Keller
Growing maps face by face
Appears in collection : Random Geometry / Géométrie aléatoire
In this talk, based on joint work with Alexandre Stauffer, I will consider the problem of providing 'uniform growth schemes' for various types of planar maps. In particular, we will discuss how to couple a uniform map with n faces with a uniform map with n+1 faces in such a way that the smaller map is always obtained from the larger by collapsing a single face. We show that uniform growth schemes exist for rooted 2p-angulations of the sphere and for rooted simple triangulations.
