The work is about perfectoid spaces, a class of objects in p-adic geometry that was introduced by the Fields medalist Peter Scholze in his PhD thesis in 2011. First, we will discuss some basic theory of valuations and adic spaces, which represent the geometric background of the topic. Then we define perfectoid rings and fields and look at their properties. We introduce the tilt functor, a tool that helps us to transfer from characteristic 0 to characteristic p. At the end, we look at perfectoid spaces, which we get by glueing together perfectoid algebras, similarly to how we get the schemes from affine schemes.
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