?? "absolute galois group of f_q(x)" .... ??? .... ??? extent to which we've thought about this before ??? .... ??? why _wouldn't_ we have ??? .... ??? .... ?? certainly thought about trying f_q itself as analog of z ... and ran into problem of some stuff seeming too degenerate, so alleged interesting non-abelian stuff doesn't seem to materialize .... whereas we've certainly heard about global function fields as somewhat nicer (?? more "regular" ??) analogs of global number fields .... ??? .... ??? function global vs number global, vs local vs global .... ???? ..... ???? .... also "function local" ????? ..... ??? ... ?? level slips .... ??? ....

?? conceptual role of change of special subring in function global case ??? .... ???? .....

?? tannakian (?? ....) approach to abs galois gp of f_q(x) .... ???? ..... ?? classification of "(?? semi-simple ... ??? ...) finite comm f_q(x)-algs" .... ???? pointed finite comm f_q-algs .... ??? ..... ?? tate motive ?? .... as formal inverse to .... ??? .....

?? decategorification here .... ??? concepts of "zeta function" and "l-function" ..... ????? ......

?? started thinking about this stuff as result of previous post about ... ?? relationship between certain ways of thinking about points of lemniscate over finite fields .... ??? ..... ??? .....