Complex Analysis and Geometry Seminar
Metric spaces of non-positive curvature and applications in several complex variables
Andrew Zimmer: University of Chicago
Location: Hill 705
Date & time: Friday, 17 February 2017 at 10:30AM - 10:31AM
In this talk I will discuss how to use ideas from the theory of metric spaces of non-positive curvature to understand the behavior of holomorphic maps between bounded domains in complex Euclidean space. Every bounded domain has an metric, called the Kobayashi metric, which is distance non-increasing with respect to holomorphic maps. Moreover, this metric often satisfies well-known non-positive curvature type conditions (for instance, Gromov hyperbolicity or visibility) and one can then use these conditions to understand the behavior of holomorphic maps.
Some of what I will talk about is joint work with Gautam.