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arXiv · 2112.10456

An introduction to six-functor formalisms

Martin Gallauer
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Abstract

These are notes for a mini-course given at the summer school and conference "The Six-Functor Formalism and Motivic Homotopy Theory" in Milan 9/2021. They provide an introduction to the formalism of Grothendieck's six operations in algebraic geometry and end with an excursion to rigid-analytic motives. The notes do not correspond precisely to the lectures delivered but provide a more self-contained account for the benefit of the audience and others. No originality is claimed.

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Martin Gallauer. 2021-12-20. An introduction to six-functor formalisms. https://doi.org/10.2140/obs.2025.6.63

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