报告题目：Length of ray images under conformal mappings

报 告 人：Saminathan Ponnusamy教授（印度理工学院）

报告时间：2023年6月27日  15:30-17:00

报告地点：理学院五楼数学研究中心讨论室534

报告摘要：

This lecture is motivated by the classical theorem of Fejer-Riesz on analytic mappings, conjecture of Piranian on conformal mappings, and later by its solution by Gehring-Hayman. Their work is still an active field of research in view of several open problems and extensions in several settings, including planar harmonic univalent mappings. Unfortunately, many related questions even in specific situations demand new techniques and thus, several problems remain hard and non-trivial to solve. In this talk, we outline several steps involved in proving the conjecture of Hall in full generality for the class S*(a) of functions starlike of order α. At the end, we propose several open problems.

报告人简介：

S. Ponnusamy是印度理工学院马德拉斯分校教授、博士生导师，曾任印度统计学院钦奈分校校长，2005年被评为印度国家科学院院士，2019年当选为印度拉马努金数学会主席。现担任多个SCI期刊的编委，在《Math Ann.》、《Math. Z.》、《J. London Math. Soc.》等国际数学权威期刊发表学术论文300余篇。S. Ponnusamy是一位国际知名的复分析专家，在单叶函数理论、特殊函数、拟共形映射和调和映射等方面做了很多重要工作。