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Pavel Nikolaevich Pyatov
Seminar "Automorphic Forms and Applications". Speaker : Aleksandr Kalmynin (ILMS, NRU HSE)
Event ended
Sphere packings and automorphic forms
The densest sphere packing problem is a multi-dimensional generalization of the famous Kepler conjecture. In 2016 M. Vyazovskaya was able to completely solve the problem in dimensions 8 and 24, where densest packings correspond to E_8 lattice and Leech lattice respectively.
We will discuss the proof of Vyazovskaya's result, which surprisingly uses certain properties of automorphic forms.