Curved Kakeya sets with radial symmetry
报告专家：杨童鸥 助理教授（南方科技大学）
报告时间：5月15日（周五）10:00-11:00
报告地点：国家天元数学西南中心516
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. Our result generalises to hypersurfaces with nonzero Gaussian curvature, and assumes minimal regularity conditions. This is joint with Xianghong Chen.
专家简介：
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助理教授。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。
邀请人：孔诗磊
