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SUMMARY:The quaternionic Nullstellensatz - Elad Paran\, Open University of
  Israel
DTSTART:20241009T153000Z
DTEND:20241009T163000Z
UID:TALK222547@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:We shall review recent works concerned with foundational aspec
 ts of quaternionic algebraic geometry: \n\n \n\n1. A quaternionic Nullstel
 lensatz for the ring R of polynomials in n central variables over the quat
 ernion algebra H\, in both abstract and explicit form (a recent result due
  to Aryapoor)\n\n \n\n2. The following theorem about the geometry of zero 
 sets of polynomials in R: If a polynomial vanishes on all common zeros wit
 h commuting coordinates of a left ideal J in R \, then it vanishes on all 
 common zeros of J in H^n. This confirms a recent conjecture of Gori\, Sarf
 atti and Vlacci.\n\n \n\nJoint work with Gil Alon.
LOCATION:MR12
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