Seminars & Colloquia Calendar

Algebra Seminar

Higher norm principles for norm varieties

Shira Gilat (Universiteit Antwerpen)

Location:  Room 425
Date & time: Wednesday, 22 January 2020 at 2:00PM - 3:00PM

Abstract: The norm principle for a division algebra states that the image of the reduced norm is an invariant of its Brauer-equivalence class. This can be generalized to symbols in $$K^M_1(F)$$ the Milnor K-group. We prove a generalized norm principle for symbols in $$K^M_n(F)$$ for a prime-to-$$p$$ closed field $$F$$ of characteristic zero (for some prime $$p$$).  We also give a new proof for the norm principle of division algebra, by decomposition theorem for (noncommutative) polynomials over the algebra.

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