Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

Series
Analysis Seminar
Time
Wednesday, November 19, 2025 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Donggeun Ryou – Indiana University Bloomington – dryou@iu.eduhttps://sites.google.com/view/dryou/home
Organizer

The Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem extends the classical restriction theorem for measures on smooth manifolds to fractal measures. We prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions. The proof uses number fields to construct fractal measures in R^d. This work is joint with Robert Fraser and Kyle Hambrook.