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DTSTAMP:20250507T045156Z
DESCRIPTION:Title: Sphere packing in dimension 8\, Viazovska's solution\, a
 nd a new human proof of her modular form inequalities.\n\nAbstract: Maryna
  Viazovska in 2016 found a remarkable application of complex analysis and 
 the theory of modular forms to a fundamental problem in geometry\, obtaini
 ng a solution to the sphere packing problem in dimension 8 through an expl
 icit construction of a so-called 'magic function' that she defined in term
 s of classical special functions. The same method also led shortly afterwa
 rds to the solution of the sphere packing problem in dimension 24 by her a
 nd several collaborators. One component of Viazovska's proof consisted of 
 proving a pair of inequalities satisfied by the modular forms she construc
 ted. Viazovska gave a proof of these inequalities that relied in an essent
 ial way on computer calculations. In this talk I will describe the backgro
 und leading up to Viazovska's groundbreaking proof\, and present a new pro
 of of her inequalities that uses only elementary arguments that can be eas
 ily checked by a human.\n\nIn person: Burnside Hall\, Room 920\n\nZoom lin
 k: https://mcgill.zoom.us/j/81120610248?pwd=Dt7gaqRsywfBL6oa5ou46WaqUeUf6s
 .1\n
DTSTART:20250403T153000Z
DTEND:20250403T163000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Dan Romik (UC Davis)
URL:/mathstat/channels/event/dan-romik-uc-davis-364644
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