广州数学大讲坛第四期

第三十二讲——安徽大学陈昌昊教授学术报告


题目:Kakeya conjecture and Fourier restriction

地点:理学实验楼314

时间:2024年5月25日(周六)下午16:40-17:40

报告人:陈昌昊教授

摘要:Kakeya conjecture is an important open problem in geometric measure theory and harmonic analysis. In this talk, I will introduce the Kakeya conjecture, and show its connections with Fourier analysis. In particular, I will show that if the Fourier restriction conjecture is ture then the Kakeya conjecture is ture, which is a theorem of Bourgain and Fefferman.

报告人简介:陈昌昊,安徽大学教授,从事分形几何及其相关领域的研究,主要研究兴趣为分形集合与测度的结构,集合与测度的投影、分形集上的Fourier分析。