An affine scheme \(X\in {\mathsf{Sch}}({\mathsf{Aff}})\) is a locally ringed space \(X\underset{\mathsf{RingSp}}{\cong}\operatorname{Spec}R\) for some \(R\in \mathsf{CRing}\).
affine scheme
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scheme
A scheme \(X\in {\mathsf{Sch}}\) is a affine scheme.
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motivic homotopy
Goal: classify affine scheme.
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Schemes
[ ] What is an affine scheme?
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Notes - The cotangent complex and derived de Rham cohomology
Note that these are all built from affine scheme with a few acceptable moves.