Affine-invariant Fourier Restriction for general varieties

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Affine-invariant harmonic analysis has emerged as a powerful perspective, unify-ing and making more robost many previous results which depended on curvaturedegeneracy of the underlying variety.Recemtly the classical Stein-Tomas argument establishing L 2 fourier restrictionestimates have been modified to give sharp estimates for a class of varieties with anyprescribed dimension, from curves to hypersurfaces. In this project, it is proposedthat an L 2 affine-invariant fourier restriction theory be developed for this class ofvarieties