Abstract
These notes are supposed to serve as a condensed but approachable guide to the way etale homotopy can be used to study rational points. I hope readers from different backgrounds will find it useful, but it is probably most suitable for a reader with some background in algebraic geometry who is not necessarily as familiar with modern homotopical and ∞-categorical methods. The original definition of the etale homotopy type is due to Artin and Mazur, and the idea was further developed by Friedlander. In recent years there has been a lot of activity around etale homotopy and its applications.
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