# Seminars & Events for Minerva Distinguished Visitor Lectures

##### Solving packing problems by linear programming

Part 1: Optimal configurations of points on manifolds. Classical problems and unexpected solutions.

The sphere packing problem asks which biggest portion of the euclidean d-dimensional space can be covered by non-overlapping unit balls. In most dimensions d this question is believed be an extremely difficult combinatorial geometric problem. However, in dimensions 8 and 24 the sphere the sphere packing problem has a surprisingly simple solution based on linear programming bounds.The goal of this series of talks is to explain the ideas behind this solution.

##### Solving packing problems by linear programming

Part 2: Cohn-Elkies linear programming bounds and modular forms.

The sphere packing problem asks which biggest portion of the euclidean d-dimensional space can be covered by non-overlapping unit balls. In most dimensions d this question is believed be an extremely difficult combinatorial geometric problem. However, in dimensions 8 and 24 the sphere the sphere packing problem has a surprisingly simple solution based on linear programming bounds.The goal of this series of talks is to explain the ideas behind this solution.

##### Solving packing problems by linear programming

Part 3: Fourier interpolation.

The sphere packing problem asks which biggest portion of the euclidean d-dimensional space can be covered by non-overlapping unit balls. In most dimensions d this question is believed be an extremely difficult combinatorial geometric problem. However, in dimensions 8 and 24 the sphere the sphere packing problem has a surprisingly simple solution based on linear programming bounds.The goal of this series of talks is to explain the ideas behind this solution.

##### Solving packing problems by linear programming

Part 4: The solution of the sphere packing problem in dimensions 8 and 24.