Speaker: Daniel Meyer(University of Washington)

Time: 15:00-16:00 p.m., April 25, 2024, GMT+8

Venue: Rm 77201, Huaixinyuan, Jingchunyuan #78, PKU

Abstract: 

Mating is an operation that glues together two planar compact sets. This concept appears in several settings. Namely in complex dynamics the Julia sets (i.e., the chaotic set) of two polynomials can be mated. In the theory of Kleinian groups (discrete groups of Möbius transformations, or fundamental groups of hyperbolic 3-manifolds) and in random geometry (specifically for the Brownian map, which is a 2-dimensional version of Brownian motion) the same operation appears. Unmating is the reverse of mating. Sullivan's dictionary stipulates a close connection between complex dynamics and Kleinian groups. Mating is a prime example of this. This talk will explain the different concepts with an emphasis of the setting of complex dynamics, which is the best understood setting.

Source: Beijing International Center for Mathematical Research, PKU