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)
Time: 7.31(Friday), 10:30-11:30
Venue: Mingde Building B201-1
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.