Geometry MMA Seminar: Bi-Lipschitz geometry of quasiconformal trees

Feb 20, 2023, 10:30 - 11:30 AM

Speaker:  Vyron Vellis, University of Tennessee, Knoxville

Title:   Bi-Lipschitz geometry of quasiconformal trees.

Abstract:  A quasiconformal tree is a doubling metric tree in which the diameter of each arc is bounded above by a fixed multiple of the distance between its endpoints. Quasiconformal trees are natural objects in random geometry, complex dynamics, and other fields. In this talk, we are concerned with two questions related to the bi-Lipschitz geometry of these metric spaces: uniformization and embeddability. The talk is based on joint works with G. C. David and S. Eriksson-Bique.

Time: Monday, February 20, 2023 – 10:30am-11:30am

Place: Exploratory Hall, Room 4106