WHAT IS... a Perfectoid Space?

  • Bhatt B
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Abstract

Perfectoid spaces are a class of algebro-geometric objects living in the realm of p-adic geometry that were introduced by Peter Scholze [Sch12] in his Ph.D. thesis. Their definition is heavily inspired by a classical result in Galois theory (see Theorem 1) due to Fontaine and Wintenberger, and the resulting theory has already had stunning applications.

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APA

Bhatt, B. (2014). WHAT IS... a Perfectoid Space? Notices of the American Mathematical Society, 61(09), 1082. https://doi.org/10.1090/noti1166

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