Tuesday, March 22, 2016 (3:00 p.m. in Yost 306)

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

Speaker: Steven Hoehner (PhD Student, Mathematics, Applied Mathematics, & Statistics, Case Western Reserve University)

Abstract: While there is extensive literature on approximation of convex bodies by inscribed or circumscribed polytopes, much less is known in the case of  generally positioned polytopes. Here we give upper and lower bounds for approximation of convex bodies by arbitrarily positioned polytopes  with a fixed number of vertices in the symmetric surface area deviation.