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SUMMARY:The sphere packing problem in dimensions 8 and 24
DTSTART:20160526T141500
DTEND:20160526T160000
DTSTAMP:20260415T032212Z
UID:228444594eaedda7b3c59f8b885979ba5004105381f78fee441fc9f7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Maryna Viazovska (Humboldt University of Berlin)\nIn this t
 alk we will show that the sphere packing problem in dimensions 8 and 24 ca
 n be solved by a linear programing method. In 2003 N. Elkies and H. Cohn 
  proved that the existence of a real function satisfying certain constrain
 s leads to an upper bound for the sphere packing constant. Using this meth
 od they obtained almost sharp estimates in dimensions 8 and 24. We will sh
 ow that functions providing exact bounds can be constructed explicitly as 
 certain integral transforms of modular forms. Therefore\, we solve the sph
 ere packing problem in dimensions 8 and 24.
LOCATION:MA11 http://plan.epfl.ch/?lang=fr&room=MA11
STATUS:CONFIRMED
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