https://twitter.com/k1ito/status/1024986552013733889
いとう
@k1ito
mathoverflowはすごい。
「Perfectoid Spacesってなんですか」
って聞くと今年のフィールズ賞受賞者のPeter Scholzeから死ぬほど丁寧な解答が来るんだから。。。(自称だが)
2018年8月2日
(引用終り)

で、検索すると下記だな・・（＾＾；
https://mathoverflow.net/questions/65729/what-are-perfectoid-spaces
What are “perfectoid spaces”? MathOverflow
asked May 22 '11 at 20:30
Thomas Riepe

4 Answers
Update: The lecture notes of the CAGA lecture series on perfectoid spaces at the IHES can now be found online, cf. http://www.ihes.fr/~abbes/CAGA/scholze.html.

It seems that it's my job to answer this question, so let me just briefly explain everything. A more detailed account will be online soon.

We start with a complete non-archimedean field K of mixed characteristic (0,p) (i.e., K has characteristic 0, but its residue field has characteristic p), equipped with a non-discrete valuation of rank 1, such that (and this is the crucial condition) Frobenius is surjective on K+/p, where K+⊂K is the subring of elements of norm ?1.

answered May 31 '11 at 15:41

Peter Scholze
3,82211934
https://twitter.com/5chan_nel (5ch newer account)