Maryna Viazovska “The sphere packing problem“ | The Vinberg Lecture

The Vinberg Lecture Series: Lecture 5 (Dec 07, 2021) -------- Maryna Viazovska (EPF Lausanne, Switzerland) Title: The sphere packing problem Abstract: The sphere packing problem asks for the densest configuration of non-overlapping unit balls in space. In this talk I shall speak about the sphere packing problem in various spaces and its generalisations. The talk will focus on linear programming and semidefinite programming methods as powerful tools for analysing and, in some cases, completely solving geometric optimisation questions.