Voronoi L-types and hypermetrics

摘要

It is a survey/research lecture, on Voronoi and Delaunay polytopes of lattices in relation, especially, to the following problems: 1) Voronoi L-type domains and non-rigidity degree of lattices, 2) Hypermetric cone and non-rigidity degree of Delaunay polytopes, 3) Voronoi conjecture for tilings.