02 - Uniform domains and generalized Cantor sets - Hiroshige Shiga
Channel: Mathematics UAM
Date: 24/05/2023

Geometry of Riemann Surfaces
Madrid, 24th-26th May 2023
https://matematicas.uam.es/~ernesto.girondo/GRS_Madrid2023/grs_Madrid2023.html

Speaker: Hiroshige Shiga, Kyoto Sangyo University.

Title: Uniform domains and generalized Cantor sets.

Abstract: Martio and Sarvas introduced the notion of uniform domains,
which is useful for the geometric function theory and quasiconformal map-
pings. In this talk, we will present a necessary and sufficient condition for
the complement of a generalized Cantor set to be a uniform domain in terms
of the sequence defining the Cantor set.