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SUMMARY:Danylo Radchenko (ETH Zürich)
DTSTART:20201026T121500Z
DTEND:20201026T131500Z
DTSTAMP:20260423T022919Z
UID:WarsawNT/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/9/"
 >Universal optimality of the E8 and Leech lattices</a>\nby Danylo Radchenk
 o (ETH Zürich) as part of Warsaw Number Theory Seminar\n\nLecture held in
  room 403 at IMPAN.\n\nAbstract\nWe look at the problem of arranging point
 s in Euclidean space in order to minimize the potential energy of pairwise
  interactions. We show that the E8 lattice and the Leech lattice are unive
 rsally optimal in the sense that they have the lowest energy for all poten
 tials that are given by completely monotone potentials of squared distance
 . \nThe proof uses a new kind of interpolation formula for Fourier eigenfu
 nctions\, which is intimately related to the theory of modular forms.\nThe
  talk is based on a joint work with Henry Cohn\, Abhinav Kumar\, Stephen D
 . Miller\, and Maryna Viazovska.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/9/
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