PDE/Analysis Seminar
Tuesday, December 13, 2022 at 4:00pm
Building 2, 2-136
182 MEMORIAL DR, Cambridge, MA 02139
Featured Speaker: Hong Wang (UCLA)
Title: Stick Kakeya sets in $R^3$
Abstract: A Kakeya set is a set of points in $\mathbb{R}^n$ which contains a unit line segment in every direction. The Kakeya conjecture states that the dimension of any Kakeya set is n. This conjecture remains wide open for all $n \geq 3$.
Together with Josh Zahl, we study a special collection of the Kakeya sets, namely the sticky Kakeya sets, where the line segments in nearby directions stay close. We prove that sticky Kakeya sets in $\mathbb{R}^3$ have dimension 3. In the talk, we will also discuss the connection to projection theory in geometric measure theory
- Event Type
- Events By Interest
- Events By Audience
- Events By School
- Website
- Department
- Department of Mathematics
- Contact Email
- Add to my calendar
Recent Activity
No recent activity