Speaker: Fabian Gundlach, Harvard University
Title: Polynomials vanishing at lattice points in convex sets
Abstract: Let P be a convex subset of R^2. For large d, what is the smallest degree r_d of a polynomial vanishing at all lattice points in the dilate d*P? We show that r_d / d converges to some positive number, which we compute for many (but maybe not all) triangles P.