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An Introduction to Perfectoid Fields

2021/12/25 by Ehsan Shahoseini, Shahoseini, Ehsan, Soroush Pasandideh +1 · 1 citation
Mathematics · #11-02 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2112.13265

openalex publication_date 2021/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey is a final project of Twopole DRP in fall 20201. In this paper we try to understand a tiny part of the vast theory of perfecoid spaces, called perfectoid fields. We start by giving some motivation and historical background. Then we define the notion of a perfectoid field and working through some examples.

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