Fri, February 22, 2019
4:00 pm - 5:00 pm
Journalism Building 295
Title: Recent developments on Falconer's distance set problem
Speaker: Yumeng Ou (CUNY New York)
Abstract: The Falconer Conjecture says that if $E$ is a compact set in $\mathbb{R}^d$ with Hausdorff dimension larger than $d/2$, then its distance set, consisting of all distinct distances generated by points in $E$, should have strictly positive Lebesgue measure. This conjecture remains open in all dimensions $d \geq 2$. In this talk we will discuss several recent developments on it, which are based on joint works with Xiumin Du, Larry Guth, Alex Iosevich, Hong Wang, Bobby Wilson, and Ruixiang Zhang.