数学7335。离散几何2。(4小时)

讨论了离散和组合几何基本概念。话题可能包括基本凸几何;凸体和多面体;格和二次形式;闵可夫斯基定理的几何数字;Blichfeldt定理;包装、覆盖、瓷砖的空间;泰森多边形法图;结晶组织和Bieberbach定理;瓷砖和非周期性; packing and covering densities; Minkowski-Hlawka theorem; sphere packings and codes; polytopes and groups; and other topics at instructor’s discretion.