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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.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
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