Analysis Seminar: "Fourier restriction estimates for hyperbolic paraboloids"
Abstract: We discuss some recent work related to Fourier restriction estimates for hyperbolic paraboloids in dimensions three and larger. In particular, we will discuss how one can prove linear restriction estimates by using bilinear restriction estimates due to S. Lee and A. Vargas. It was previously unknown if these bilinear estimates implied linear bounds. We will also discuss an application of this method to certain fractal restriction estimates for the hyperbolic paraboloid, which are joint with M.B Erdogan and T. Harris.
Host: Brett Wick