the first Theorem alone made my head hurt.
i can’t even post it because the interpreter thinks it’s all HTTP...
http://www.math.uni-bonn.de/people/scholze/PerfectoidSpaces.pdf
I could not follow it either.
Thanks for the link, it takes more than some rainy days during the summer to read this. Perhaps it is better to start with this http://www.math.uni-bonn.de/people/scholze/CDM.pdf