Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Random trees from conformal welding
Speaker: Peter Lin, Stony Brook University
Date: August 9, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Conformal welding is a way of gluing Riemann surfaces along their boundary via a specified equivalence relation. Even in the case that the resulting boundary interface is a simple curve, the existence and uniqueness of the resulting conformal structure is in general difficult to determine; this is the conformal welding problem.
Title of Talk: Random trees from conformal welding
Speaker: Peter Lin, Stony Brook University
Date: August 9, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Conformal welding is a way of gluing Riemann surfaces along their boundary via a specified equivalence relation. Even in the case that the resulting boundary interface is a simple curve, the existence and uniqueness of the resulting conformal structure is in general difficult to determine; this is the conformal welding problem.
We give criteria for the solution of the welding problem in the case that the boundary interface is a dendrite. In particular we prove that a natural conformal welding problem associated with the continuum random tree (CRT) has a solution, giving rise to a `canonical’ embedding of the CRT in the plane.
Joint work with Steffen Rohde.