Current Developments in Mathematics
Perfectoid spaces: A survey
Pages: 193 – 227
This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to their content, it includes some open questions, as well as complements to the results of the previous papers.
2010 Mathematics Subject Classification
14C30, 14G20, 14G22, 14L05