Speaker：Xianghong Chen (Sun Yat-sen University)

Time：2023-7-5, 10:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

Review the history of Besicovitch set (a Lebesgue null set in the plane which contains a unit line segment in every direction) and discuss its connections to harmonic analysis. Then I will focus on the problem of minimizing Besicovitch set in terms of generalized Hausdorff dimension and report some recent progress. This is joint work with Lixin Yan (SYSU) and Yue Zhong (SYSU).