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The William and Mary Distinguished Lecture Series presents Charles Fefferman. Interpolation in Higher Dimensions Abstract: Fix positive integers m, n, and suppose we are given N points in the (n+1)-dimensional Euclidean space. Can we compute a function F, having continuous derivatives of orders less or equal to m, whose graph passes through (or close to) the given points, with the related norm of F nearly as small as possible? Suppose we are allowed to discard any M of the given points. Which M points should we discard to reduce the norm of F as much as possible? The results are joint work with Bo’az Klartag. College of William and Mary Speaker: Charles Fefferman