18/09/22 20:47:59.59 OmRa4Lkr.net
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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・・（＾＾；
URLﾘﾝｸ(mathoverflow.net)
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. URLﾘﾝｸ(www.ihes.fr)
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
(deleted an unsolicited ad)