from here :

??? any possibility that progression from abelian class field theory ("artin reciprocity") to non-abelian ("langlands reciprocity") might have to do with moving comma construction / homotopy fiber idea from dimensional doctrine to AG doctrine ???? ..... ???? .... ???? hmmm, possibility of generalized "ramification index" here ???? ......

?? possibility of .... ?? understanding stuff about archimedean ramification in terms of ... ?? extending of "differential calculus" / "blow-up" (???? ... ???relationship and/or non-relationship to homotopy fiber idea ... ??? ... ??? bit about ... ????_(cartier) divisor_ as already blown-up ... ???? .....) from AG to "AG without -1" doctrine ??? ..... ????......

??stuff that todd was trying to tell me about .... trying to unify archimedean with non-archimidean factors of zeta function .... ??? .... ??? "gaussian as self-dual under fourier transform" ... ????? ..... (?? relationship to "poisson summation" ??? ..... ????? ......) ..... "tate's thesis" ... ???...

[end quote]

??? "adeles" as (??? limiting case of ... ???) some decategorification of such homotopy fiber of AG theories ??? ..... ????? .....

??relationship to "automorphic representation" ???? .... ???

galois representation ...

??? jugendtraum as giving equivalence between certain maximal abelian extension and certain "field of moduli", roughly ... ??? .... ?? not at all clear any nice way to interpret the two sides of this equivalence as two sides ("galois" and "automorphic") of langlands .... ???? ..... ??? maybe both more on galois side ??? ....

?? artin reciprocity as "better" than jugendtraum ?? ... ??? or something (??) as "better" than langlands reciprocity ??? ....

?? taking seriously AG theory of "j-adeles" for j "level of ramification" ... ????.... and its decategorification of some sort ?? ....

?? "reciprocity" ... ?? between elliptic variable and modular variable ?? ... ???....