Seminario Análisis y Aplicaciones
Extending homeomorphisms of the real line to the upper half plane
Ponente: Lucas Oliveira (Universidade Federal do Rio Grande do Sul)Fecha: viernes 03 de octubre de 2025 - 11:30Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
Consider the following question: is it possible to extend a quasisymmetric homeomorphism of the real line to a quasiconformal homeomorphism of upper-half plane such that the extension of a composition it is the composition of the extensions? An answer to this question is already known in this precise situation, but there are cases where these problems still need better explanations (positive or negative). In this talk I would like to present the result of recent collaborations that provides some advance in the specific case of BiLipschitz homeomorphisms.
Joint work with José Afonso Barrionuevo, Felipe Gonçalves and Victor Medeiros.
