Terence Harris

University of Illinois, Urbana-Champaign

Talk Title: An application of weighted Fourier restriction to restricted projection families in higher dimensions

Abstract: In this talk, I will outline a connection between the decay of the Fourier transform on the cone, and the behaviour of Hausdorff dimension under a family of linear projections. This generalises a result of Oberlin and Oberlin in 3D to higher dimensions.