Don Stull: Incidence bounds in higher dimensions, and their applications to distance sets in R^3 and R^4

Speaker
Don Stull, University of Chicago

Abstract
In this talk, we present lower bounds on the discretized incidences between hyperplanes and points in $\mathbb{R}^d$. We show how this is used to prove lower bounds on pinned distance sets in dimensions 3 and 4. In addition, we show that the hyperplane incidence bound implies bounds on hyperplane Furstenberg sets in arbitrary dimension. This is joint work with Marianna Csörnyei.