True Trees and Transcendental Tracts

This lecture by the instructor covers the concept of true trees and transcendental tracts, focusing on harmonic measures, Riemann mapping theorem, and the relationship between balanced trees and Shabat polynomials. It delves into the algebraic aspects of true trees, their correspondence with number fields, and the difficulty of computing them. The lecture also explores the connection between planar trees and Grothendieck's dessins d'enfants, as well as the approximation of true trees using quasiconformal maps. The QC-Folding Theorem is presented as a method to approximate true trees, highlighting the intricate relationship between geometry and complex analysis.