?? kaleidoscope as fan .... ???? ?? cones and cocones here vs the more general closed subsets wrt the galois connection ... ??? parabolic subalgebras vs more general galois-schubert subalgebras .... ?????? .....

maximal torus .... lie algebra vs lie group .... ??? lie group as torus but lie algebra as affine toric variety ..... ???? how to glue copies together .... ???? .....

??? exponential as transcendental ... vs algebraic .... ??? confusion ??? ....

??? "double life of young diagrams" .... ????? .......

?? inclusion of quasicoherent actions among potentially quasicoherent ... ?? as geometric morphism ... ??? ...

?? given "TAG topos", consider unit object for the TAG structure .... ???? relationship to "torus object" (???) we used to think about ??? ..... ??? ....

??? non-toric analog ..... ????? .....

?? ... hmmm .... ???? .... ??? "core" ??? ..... ????? ..... ??? "n-affine ..." ... ???? ..... ????? .....

??? doctrine morphism ... ???? TAG doctrine to ringed topos doctrine .... ???? forcing objects in syntactic category of TAG theory to be quasicoherent .... ???? .....

??? ....

???? "abelian category equipped with commutative ring object" .... ?????? not evidently parsing yet .... ?????? ...... ?????? .....

[???actually even original toric case not parsing now ... ????? .... ??? confusion ???? ..... TAG unit in TAG topos as not topos commutative monoid .... ???? .... ????? ..... ???? .....

?? comm monoided topos as TAG topos with property .... ?????? .....

?? vs (?? ...) ... ??? maybe somehow systematically deriving TAG / topos compatibility structure (?? ...) from example of comm monoided topos ?? ....