Sharp Minkowski dimension for curved Kakeya sets with radial symmetry

讲座题目：Sharp Minkowski dimension for curved Kakeya sets with radial symmetry

讲座时间 Datetime:2026年7月1日，周三，15：30 - 16：30

地点 Venue:海琴二号A457 

主持人 Host：黄天骁 副教授

报告人 Speaker: 杨童鸥 副教授

单位 Affiliation:南方科技大学

报告摘要：

We obtain sharp logarithmic orders for the measure of the delta-neighbourhood of curved Kakeya sets as surfaces of revolution generated by a family of 2D curves satisfying a certain cinematic curvature condition. In particular, we obtain sharp logarithmic order for the measure of delta-neighbourhood of spherical Kakeya sets. This is joint with Xianghong Chen (SYSU).

报告人简介：

杨童鸥，博士毕业于加拿大英属哥伦比亚大学，现任南方科技大学数学系副教授。其研究领域为调和分析和几何测度论，尤其是挂谷问题和傅立叶解耦相关问题。在Amer. J. Math和Math. Ann.等期刊发表论文数篇。