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.