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SUMMARY:Victor Hildebrandsson (Linköping University\, Sweden)
DTSTART:20240219T150000Z
DTEND:20240219T160000Z
DTSTAMP:20260423T035617Z
UID:ENAAS/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/57/">O
 ctonion algebras over schemes and the equivalence of isotopes and isometri
 c forms</a>\nby Victor Hildebrandsson (Linköping University\, Sweden) as 
 part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn 2019\, 
 Alsaody and Gille show that\, for octonion algebras over unital commutativ
 e rings\, there is an equivalence between isotopes and isometric quadratic
  forms. This leads us to a question: can this equivalence be generalized t
 o octonion algebras over a (not necessarily affine) scheme? We give the ba
 sic definitions of octonion algebras over schemes. We show that an isotope
  of an octonion algebra C over a scheme is isomorphic to a twist by an Aut
 (C)–torsor. We conclude by giving an affirmative answer to our question.
 \n
LOCATION:https://researchseminars.org/talk/ENAAS/57/
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