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The quaternionic Nullstellensatz

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  • UserElad Paran, Open University of Israel
  • ClockWednesday 09 October 2024, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Adam Jones .

We shall review recent works concerned with foundational aspects of quaternionic algebraic geometry:

1. A quaternionic Nullstellensatz for the ring R of polynomials in n central variables over the quaternion algebra H, in both abstract and explicit form (a recent result due to Aryapoor)

2. The following theorem about the geometry of zero sets of polynomials in R: If a polynomial vanishes on all common zeros with 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, Sarfatti and Vlacci.

Joint work with Gil Alon.

This talk is part of the Algebra and Representation Theory Seminar series.

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