中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
调和分析研讨班
Speaker: 吴澍坤（Indiana University Bloomington）
Inviter: 何伟鲲
Language: English
Title: Diameter-free estimates and superorthogonality
Time & Venue: 2026年10月12日（星期一）15:00-16:00 南楼N913
Abstract: I will discuss how order and orthogonality yield a near-optimal three-fold additive energy bound for points on convex curves and diameter-free decoupling for the parabola. A related geometric observation gives a short proof of the Guth–Wang–Zhang cone reverse square function estimate. I will then introduce an abstract ordered superorthogonality theorem and explain its applications to diameter-free and sharp reverse square function estimates for the cone. This is based on joint work with Adam Cushman and Ciprian Demeter. The work is AI-assisted.