<a href="http://www.zib.de/de/mathematik-kalender.html?oid=27084144" title="link">This</a> talk is about a theory of "perfectoid spaces", which "compares objects in characteristic p with objects in characteristic 0". What are those spaces, where can one read about them? 

Edit: A bit more infos can be found in Peter Scholze's <a href="http://www.math.uni-bonn.de/people/scholze/ARGOS.pdf" title="pdf">seminar description</a> and in <a href="http://www-personal.umich.edu/~bhattb/almost_purity_2011/plan.pdf" title="pdf">Bhargav Bhatt</a>'s.