Extend the summary of class field theories (CFT)

[YiqiXu]

For local CFT we should also mention

• class formations of Artin-Tate
• other axiomatizations of CFT
• Ershov's refinement of local CFT
• Abrahmson's idea in the realm of nonstandard arithmetic
• using moduli stack of Lubin-Tate modules by Borger-Gurney
• The Chromatic Fourier Transform

The summary can be extended to contain the following themes:

• global CFT
• explicit global CFT and Λ-structures by Borger-de Smit
• Derived CFT
• higher local CFT
• non-abalian local CFT
• (conjectural) non-abalian global CFT
• geometric CFT

The following questions can be discussed

• their relations to Langlands correspondences?
• possible relations between the approaches above?
• a possible unification?

to be continued