?? whether stuff that we've been playing around with recently is more like "local" langlands conjecture than "global" ?? ... ??? "abelian" case ?? ... ???? .....

?? extent to which when thinking about "quasicoherent sheaves" as adjoint to "spectrum" we tried to think of it as a special case of syntax / structure as adjoint to semantics .... ??? .... ??? ....

?? decategorified analog ??? .... "spectrum" ... ???? .....

?? invertiblization of cusp forms .... ??????? ....

?? object (?? .... ??? ....) in ag theory of cqa's given by "p-torsion elements" .... ????? ..... ???? .... ????? ...... ?? p=2 test case ... ??? ....