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Nguyen Thac Dung

2012-11-09
10:30:00 - 12:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, I will show a linear and sub-linear bound of the number of lattice points on large caps. These bounds are key ingredient to prove the main theorem in dimension 3 in Bourgain and Rudnick's paper. Then I introduce the Fourier transfom of Surface-Carried Measures by using the stationary phase method. REFERENCES 1. Bourgain and Rudnick, Restriction of Toral eigenfunctions to hypersurfaces and nodal sets, to appear in GAFA, DOI:10.1007/s00039-012-0186-3.