Charles Alley : Asymptotic Values of Functions with Polynomial Schwarzian Derivative

Posted by Trevor Leslie , part of the Graduate Analysis Seminar.

At

Oct. 3, 2016, noon

In

SEO 1227

Abstract

It is a classical result of Rolf Nevanlinna that an entire function whose Schwarzian derivative is a polynomial of degree $d$ has exactly $d+2$ asymptotic values. In this talk I will sketch a proof of this result and remark on the role of Stokes' phenomenon in understanding the set of asymptotic values.