中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 吴澍坤 博士（California Institute of Technology）
题 目：A brief introduction of Kakeya conjecture and related topics
时 间：2022.04.01（星期五），09:00-10:00
地 点：数学院南楼N204室 腾讯会议：409-472-398
摘 要：Kakeya conjecture is a fundamental problem in real analysis. It suggests the phenomenon that in R^n, any collectionof lines (equivalently, tubes) with distinct directions cannot cluster too much. In this talk, I would briefly discuss Kakeya conjecture and its connections to other branches of mathematical analysis (e.g. Fourier analysis, geometric measure theory). Along the way I would also include some recent progresses for problems in Fourier analysis.