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SUMMARY:Ken Ono (University of Virginia)
DTSTART:20250729T060000Z
DTEND:20250729T070000Z
DTSTAMP:20260513T133642Z
UID:OISTRTS/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/72/"
 >Partitions Detect Primes</a>\nby Ken Ono (University of Virginia) as part
  of OIST representation theory seminar\n\n\nAbstract\nThis talk presents 
 “partition theoretic” analogs of the classical work of Matiyasevich th
 at resolved Hilbert’s Tenth Problem in the negative. The Diophantine equ
 ations we consider involve equations of MacMahon’s partition functions a
 nd their natural generalizations. Here we explicitly construct infinitely 
 many Diophantine equations in partition functions whose solutions are prec
 isely the prime numbers. To this end\, we produce explicit additive bases 
 of all graded weights of quasimodular forms\, which is of independent inte
 rest with many further applications. This is joint work with Will Craig an
 d Jan-Willem van Ittersum.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/72/
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