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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeSep 16th 2014

added some minimum content to perfectoid space. Also added a corresponding paragraph to function field analogy.

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJul 5th 2017

Since my chapter in What is a mathematical concept? appears next to Michael Harris’s ’The perfectoid concept: test case for an absent theory’, when I get a chance to read that it would fun to see what sense I can make of the idea.

A throw-away thought: if, as Scholze says, perectoids were devised to mediate between $\mathbb{Q}_p$ and $\mathbb{F}_p((t))$, and

Although these two fields have formally ’the same’ elements, the basic addition and multiplication operations are different: In $\mathbb{Q}_p$, one computes with carry, but in $\mathbb{F}_p((t))$ without carry,

is it interesting that carrying is a form of cohomology?

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeJul 5th 2017