The sphere packing problem in dimension 8


In this paper we prove that no packing of unit balls in Euclidean space $\mathbb R^8$ has density greater than that of the $E_8$-lattice packing.


Maryna S. Viazovska

Berlin Mathematical School and Humboldt University of Berlin, Berlin, Germany

Current address:

École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland