Back in 08-12-2018, we blogged on Peter Scholze’s 2011 thesis on Perfectoid Spaces, one of the hottest topics that is taking Mathematics by storm (https://irthoughts.wordpress.com/2018/08/12/peter-scholze-and-perfectoid-spaces-a-math-genius-among-us/).
An introductory discussion on the topic is available at https://mathoverflow.net/questions/65729/what-are-perfectoid-spaces?rq=1
Possible connections and applications are mentioned at https://irthoughts.wordpress.com/2018/08/23/perfectoid-spaces-arithmetic-geometry-and-quantum-theory/.
The Perfectoid Spaces miner is available since 08-16-2018 (https://irthoughts.wordpress.com/2018/08/16/perfectoid-spaces-miner/).
Resources in spanish were added to the miner yesterday 08-26-2019, about a year later. Better late than never.