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Affine Grassmannians in A^1-algebraic topology

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 نشر من قبل Tom Bachmann
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف Tom Bachmann




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Let k be a field. Denote by Spc(k)_* the unstable, pointed motivic homotopy category and by Omega_Gm: Spc(k)_* to Spc(k)_* the Gm-loops functor. For a k-group G, denote by Gr_G the affine Grassmannian of G. If G is isotropic reductive, we provide a canonical motivic equivalence Omega_Gm G = Gr_G. If k is perfect, we use this to compute the motive M(Omega_Gm G) in DM(k, Z).



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