### Analysis and Probability SeminarRecent developments on Falconer's distance set problemYumeng Ou (CUNY)

Friday, February 1, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

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 joint works with Xiumin Du, Larry Guth, Alex Iosevich, Hong Wang, Bobby Wilson, and Ruixiang Zhang.

Contact:

Scott Zimmerman, scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar