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SUMMARY:Stephen D. Miller (Rutgers University)
DTSTART:20230509T203000Z
DTEND:20230509T213000Z
DTSTAMP:20260423T130022Z
UID:MITNT/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/72/">T
 he number theory and modular forms behind 8- and 24-dimensional sphere pac
 king</a>\nby Stephen D. Miller (Rutgers University) as part of MIT number 
 theory seminar\n\nLecture held in Room 2-449 in the Simons Building (build
 ing 2).\n\nAbstract\nAlthough the solution to the sphere packing and "univ
 ersal optimality" energy minimization problems in dimensions 8 and 24 have
  a very analytic flavor\, number theory is pervasive behind the scenes.  I
 'll describe the rationality conjectures with Cohn which first pointed to 
 the appearance of modular forms\, as well as Viazovska's interpolation ans
 atz which more directly linked with modular forms\, especially for energy 
 minimization.  (Joint work with Henry Cohn\, Abhinav Kumar\, Danylo Radche
 nko\, and Maryna Viazovska.)\n
LOCATION:https://researchseminars.org/talk/MITNT/72/
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