Daniel Meyer: An Introduction to Matings

Location

FR4, Albanova

Schedule

14:15–15:00 Pre-colloquium by Vladislav Guskov in FB54.

15:15–16:15 Colloquium lecture by Daniel Meyer.
16:15–17:00 SMC social get together with refreshments.

Abstract

Mating is an operation where two trees (or dendrites) are glued together. In general, the resulting topological space may be quite pathological, though surprisingly one obtains a 2-sphere in many cases. This operation appears in three different settings, namely in Complex dynamics (where two polynomials Julia sets are combined), in hyperbolic geometry/Kleinian groups (where it appears in the setting of manifolds that fiber over the circle), and in random geometry (where it appears for the Brownian map). In this talk I will give an overview of the above, and outline some recent generalizations.