On Fourier restriction to hyperbolic 2-surfaces: robustness of the polynomial compared to the bilinear approach

Abstract: In this talk, which will be based on joint research with S. Buschenhenke and A.Vargas, I intend to discuss some of the new challenges that arose in our studies of Fourier restriction estimates for hyperbolic surfaces, compared to the case of elliptic surfaces. Given the complexity of the bilinear, and even more so of the polynomial partitioning approach, I shall mainly focus on those parts of these methods which required new ideas, so that a familiarity with these methods will not be expected from the audience.

classical analysis and ODEsfunctional analysisrepresentation theoryspectral theory

Audience: researchers in the topic

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