Gal(Qp/Qp) as a geometric fundamental group
نویسنده
چکیده
Let p be a prime number. In this article we present a theorem, suggested by Peter Scholze, which states that Gal(Qp/Qp) is the étale fundamental group of a certain object Z which is defined over an algebraically closed field. This object is the quotient of the “punctured perfectoid open disk” by an action of the group Qp . The proof of this fact combines two themes: the tilting equivalence for perfectoid spaces, and the Fargues-Fontaine curve.
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