Zu Chongzhi Research Seminar

Date and Time (China standard time): Sunday, May 31, 2:00 – 3:00 pm

Location: WDR 1007

Zoom: 919 5547 4594, Passcode: dkumath

Title: Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates

Speaker: Bochen Liu, Southern University of Science and Technology

Abstract: I prove that, if a regular planar set has dimension greater than 1, then its distance set must have positive Lebesgue measure. This settles the regular case of the Falconer distance conjecture in the plane.

Bio: Bochen Liu is an associate professor in the math department of Southern University of Science and Technology. His research interests include harmonic analysis, geometric measure theory, and combinatorics.