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SUMMARY:Ben Green (University of Oxford)
DTSTART:20211104T130000Z
DTEND:20211104T140000Z
DTSTAMP:20260423T005759Z
UID:AGNTISTA/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/44/
 ">Quadratic forms in 8 prime variables</a>\nby Ben Green (University of Ox
 ford) as part of Algebraic Geometry and Number Theory seminar - ISTA\n\n\n
 Abstract\nI will discuss a recent paper of mine\, the aim of which is to c
 ount the number of prime solutions to Q(p_1\,..\,p_8) = N\, for a fixed qu
 adratic form Q and varying N. The traditional approach to problems of this
  type\, the Hardy-Littlewood circle method\, does not quite suffice. The m
 ain new idea is to involve the Weil representation of the symplectic group
 s Sp_8(Z/qZ). I will explain what this is\, and what it has to do with the
  original problem. I hope to make the talk accessible to a fairly general 
 audience.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/44/
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