Speaker: Nageswari Shanmugalingam
Title: Prime End Boundary and Caratheodory's Extension Theorem For BQS Mappings Between Domains In Metric Spaces"
Abstract: Caratheodory created a notion of prime end boundary for simply connected planar
domains in order to study boundary behavior of conformal maps from the unit disk
to such domains. In this talk we discuss a variant of the prime end boundary adapted
to the setting of non-simply connected planar domains and more general domains
in non-smooth setting, and an associated Caratheodory-type extension result of
"branched quasisymmetric" homeomorphisms between such domains. This talk is
based on joint work with Anders Bjorn, Jana Bjorn, and with Je Lindquist.