FHAW02 — Interactions in incidence geometry, Fourier analysis, and geometric measure theory

This workshop will focus on a circle of problems lying at the interface between harmonic analysis and geometric measure theory, including the Kakeya and Restriction Conjectures, the Falconer distance problem and projection theory. Underlying all these questions are combinatorial incidence problems, concerning intersection patterns between geometric objects such as thin tubes and annuli. The workshop will bring together experts from a range of backgrounds to investigate these deep and important interdisciplinary problems.