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math.AG2026
Inaccessibility of the flat topology
Ko Aoki, Robert Burklund
We prove that singleton covers in the flat topology on affine schemes are not closed under -cofiltered limits for any regular cardinal . Therefore, for every accessible fla…
math.AG2026
Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
Tom Bachmann, Robert Burklund, Bjørn Ian Dundas +1
We compute the tensor of the multiplicative group scheme with the mod- motivic cohomology spectrum in normed motivic spectra over the complex numbers, and find that the resultin…
math.AG2025
Motivic stable stems and Galois approximations of cellular motivic categories
Tom Bachmann, Robert Burklund, Zhouli Xu
We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our m…