The APDE seminar on Monday, 11/25, will be given by Ciprian Demeter (Indiana U) in-person in Evans 740, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto () or Mengxuan Yang ().

Title: Fourier decay of fractal measures and a Szemeredi-Trotter theorem for tubes

Abstract: I will prove a natural analogue of the celebrated Szemeredi-Trotter theorem for lines in the case of tubes satisfying non-concentration assumptions. As an application, I will analyze the Fourier transform of Frostman measures supported on the parabola. This is joint work with Hong Wang.