nLab Oliver Lorscheid

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Selected writings

On the algebraic K-theory over the field with one element and its relation to stable Cohomotopy and equivariant stable Cohomotopy:

• Chenghao Chu, Oliver Lorscheid, Rekha Santhanam, Sheaves and K-theory for $\mathbb{F}_1$-schemes, Advances in Mathematics, 229 4, (2012) 2239-2286 [arxiv:1010.2896, doi:10.1016/j.aim.2011.12.023]

and generalization from $\mathbb{F}_1$-schemes to monoid schemes:

• Jens Niklas Eberhardt, Oliver Lorscheid, Matthew B. Young: Algebraic K-theory and Grothendieck-Witt theory of monoid schemes, Math. Z. 301 (2022) 1407–1445 [arXiv:2009.12636, doi:10.1007/s00209-021-02919-z]

On (geometry over) the field with one element:

• Oliver Lorscheid: Lectures on $\mathbb{F}_1$ (2014) [pdf, pdf]

• Oliver Lorscheid: $\mathbb{F}_1$ for everyone, Jahresber. Dtsch. Math.-Ver. 120 2 (2018) 83–116 [arXiv:1801.05337]

Related entries

• F1

category: people