Charles Alley : The Schwarzian Derivative

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

At

Feb. 8, 2016, 2 p.m.

In

SEO 612

Abstract

In this talk I will introduce the Schwarzian derivative and give a survey of some of its properties and related results. The Schwarzian derivative is a quadratic differential operator on the space of locally injective holomorphic functions which is distinguished by the property $S(f)=0$ if and only if $f$ is a linear fractional transformation.