Department of Mathematics: Graduate Seminar Series

Title: Maps, Metrics and More

 Abstract: There is a well-studied interplay between families of holomorphic functions on the unit disk, the hyperbolic metric on the unit disk, and the transitive group of hyperbolic isometries on the unit disk. In this talk, we will explore generalizations of this theme in higher dimensions, where "holomorphic" is replaced with "quasiregular", "unit disk" is replaced with "quasiconformally homogeneous domain", and "hyperbolic metric" is replaced with "quasihyperbolic metric". This is based on joint work with Allyson Hahn.