Joint Graduate Student Colloquium

Leanne Stuive,  Department of Combinatorics & Optimization, University of Waterloo

"Approximating Convex Bodies by Polytopes"

First, this talk introduces the problem of "approximating" a convex body with a "simpler convex body". Then, we focus on a specific example where "approximating" means "with respect to the Banach-Mazur distance" and "simpler convex set" means "a polytope with not too many vertices". We will see early classical results and a recent result of Barvinok. In the spirit of the Joint Colloquium, this talk will be a self contained introduction to the topic.

MC 5501