Conic Optimization for Extremal Geometry
Abstract
The aim of this paper is to highlight recent progress in using conic optimization methods to study geometric packing problems. We will look at four geometric packing problems of different kinds: two on the unit sphere -- the kissing number problem and measurable $π/2$-avoiding sets -- and two in Euclidean space -- the sphere packing problem and measurable one-avoiding sets.
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Topology Optimization in Engineering
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Publication details
- Pages
- 229–248
- Publication date
- 1 July 2026
- Language
- EN