TITLE: What are the current trends in class field theory?
QUESTION [10 upvotes]: Being far from an expert in the subject I was wondering if people can hint towards a modern exposition of the developments in the last 10 years ? Or if not then suggest some sub-subjects in CFT that are kind of central and popular right now ? Thanks!

REPLY [6 votes]: I am sufficiently far away from the field that "I keep hearing this a lot" really means something - so probably higher-dimensional class field theory should be on the list of current trends in class field theory. The general goal is to express the abelianization of the étale fundamental group of a variety $X/\mathbb{F}_q$ in terms of some other arithmetic data, such as Chow groups (with modulus). Google search revealed several seminar programs, e.g. here (from Berlin) and here (from Essen). They contain literature references and provide a structured guide to the recent results.