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The densest packing of equal spheres in two-dimensional Euclidean space
corresponds to the well-known hexagonal lattice (or, honeycomb). However, even in
dimension three the proof of the result on the densest sphere packing is rather
difficult. Nevertheless, in 2016 Maryna Viazovska elegantly, but relatively easy (by
means of modular forms), proved that the packing corresponds to the Korkine-
Zolotareff lattice is the densest in $\mathbb{R}^8$. Her achievement was awarded the Fields medal
2022. In this course we provide a detailed proof of M. Viazovska’s result affordable
for middle course students.
 RSS: Forthcoming seminars
 Lecturer
Rezvyakova Irina Sergeevna
Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
