1/27/2022 – Interdisciplinary Science Seminar

01/27/2022 2:54 pm - 4:54 pm

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.