WPI is taking measures in response to the rapidly evolving coronavirus (COVID-19) situation. Get the latest information.

Mathematical Sciences-Analysis and PDE Seminar-Nageswari Shanmugalingam (University of Cincinnati) "Prime End Boundary and Caratheodory's Extension Theorem For BQS Mappings Between Domains In Metric Spaces"

Thursday, February 20, 2020
11:00 am to 12:00 pm

Location:

Floor/Room #: 
203

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.