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Analysis and Operator Theory Seminar - Yumeng Ou

Yumeng Ou
February 22, 2019
4:00PM - 5:00PM
Journalism Building 295

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Add to Calendar 2019-02-22 16:00:00 2019-02-22 17:00:00 Analysis and Operator Theory Seminar - Yumeng Ou 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. Journalism Building 295 Department of Mathematics math@osu.edu America/New_York public

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.

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