Toshiyuki Sugawa, Tohoku University

题目：Higher-order Schwarzian derivative in Geometric Function Theory
摘要：The Schwarzian derivative plays an important role in Function Theory.
Especially, it is known to be closely connected with univalence 
of an analytic function. Therefore, there have been several attempts 
to obtain higher-order analogs of Schwarzian derivative. In order to 
keep a nice invariance property, we must give up analyticity of the 
higher-order Schwarzian derivative. Among others, Aharonov introduced 
a systematic way to give such quantities, known as Aharonov invariants 
nowadays, for analytic functions on the unit disk. In this talk, we 
propose more general quantities and give some results on univalance 
and quasiconformal extensions. The present talk is partly based on 
the joint work with Seong-A Kim.


时间：4月17日 16：00点

地点：维格堂119