Friday, September 26, 2014 (12:45-1:45 p.m. in Yost 306)

Title: The Surface Area Defect of the Euclidean Ball and a Polytope

Speaker: Steven Hoehner (Graduate Student, Case Western Reserve University MAMS Department)

Abstract: We want to approximate — as closely as possible — the surface of n-dimensional ball by a polytope with at most N vertices. We show that one can choose P so that the appropriately defined surface area “defect” decreases at the rate   N^{-2/(n-1)}.