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.
Keywords
six operations, six-functor formalism, motivic homotopy
theory, cohomology, rigid-analytic motives