>>169
>フェセンコのHigher adelicて
>せいぜい2次元なのかツマらんな

そういう見方もありだろうが下記
類体論には、三つの一般化の方向があって
フェセンコ氏は、2次元における三つの一般化を統合する一般化の類体論の理論はどうよ？ って話と読んだけど

(参考)
https://en.wikipedia.org/wiki/Class_field_theory#Generalizations_of_class_field_theory
Class field theory
Generalizations of class field theory
There are three main generalizations, each of great interest. They are: the Langlands program, anabelian geometry, and higher class field theory.
Often, the Langlands correspondence is viewed as a nonabelian class field theory. If and when it is fully established, it would contain a certain theory of nonabelian Galois extensions of global fields. However, the Langlands correspondence does not include as much arithmetical information about finite Galois extensions as class field theory does in the abelian case. It also does not include an analog of the existence theorem in class field theory: the concept of class fields is absent in the Langlands correspondence. There are several other nonabelian theories, local and global, which provide alternatives to the Langlands correspondence point of view.

Another generalization of class field theory is anabelian geometry, which studies algorithms to restore the original object (e.g. a number field or a hyperbolic curve over it) from the knowledge of its full absolute Galois group or algebraic fundamental group.
Another natural generalization is higher class field theory, divided into higher local class field theory and higher global class field theory. It describes abelian extensions of higher local fields and higher global fields. The latter come as function fields of schemes of finite type over integers and their appropriate localizations and completions. It uses algebraic K-theory, and appropriate Milnor K-groups generalize the {\displaystyle K_{1}}K_{1} used in one-dimensional class field theory