The Falconer distance problem and its many variants

Abstract: The Falconer distance problem, a major open problem on the interface of geometric measure theory and harmonic analysis, has seen much progress in the last decade. There are many variants of it, including pinned and non-empty interior ones, as well as multipoint configuration analogues. In this talk I will give a brief introduction and report on some recent results on general distance graph variants of this classic question.

analysis of PDEsclassical analysis and ODEsfunctional analysis

Audience: researchers in the topic

OARS Online Analysis Research Seminar

Series comments: Visit our homepage for further information. Some recordings available on YouTube