todd...

kz vs idempotent ... ??morphisms between algebras...

??something about whether "collapse" of epistemology amounts to kz becoming idempotent ... ???or something ...

??something about what goes wrong with excessively naive attempts to get good "epistemology" ...

toric stuff ... ??on wish list ??...

??something about getting beyond "foundational" aspects of ag .. or at least to somewhat different sense of "foundational" ... or something ...

??something about validity of technique i've been using in ... ??"imposing colimit axioms" ... sometimes in context of doctrine with other ( (2,1) ...) structure with compatibility with colimits ... and so forth ...) ... ??something about "coherent topos" case ... ??or something ?? ... and so forth ... ??something about "compact object" vs "finitely presented" and so forth .... ?? ... ??sa bit martin seemed surprised about ... ??full and faithful right adjoint ??? ... or something ... and so forth ...


derek...

???something about ... ???integrable invariant distributions on flag variety... also on apartment variety ... ???and so forth ...

...not sure i said that right ... something about whole bit about "relative invariance" ...

but anyway ... something about nilpotent / graded lie algebras and non-integrable distributions and polynomial exponential map and affine structure of bruhat cells and so forth ... in particular how flat space-time fits into its conformal completion ...

??somewhat perverseness of ... penrose diagrams as applied to globally non-trivial space-times ... vs current focus on merely "kleinian" as opposed to "cartanian" aspect of conformal space-time ... ???so then what _about_ more cartanian approach here?? ... ??something about "generalized legendrian submanifold" and so forth ??? ... ???something about "geodesic light-like curve" and so forth?? ???what _about_ "geodesicness (or something... and so forth ... higher dimension ... ???) of curve (or higher dimension ...) respecting a distribution" ... ??purely intrinsic to the distribution ... ??or something ?? .... and so forth .... ??? ....
??something about "cartanian duality" ...

??hmmm, so what about something about "geodesicness" (and so forth...) here and something about ... ???when torsoroid admits various different "figure-space pictures" ... or something...

??something about "hidden heisenberg" and so forth ... ??

??so what _about_ something about "conformal non-/flatness" here?? ... and so forth ... ???

??maybe also mention cartanian stuff here to huerta ? ...

??also something about ... further detail about how (??d2 and/or b2?? ...) apartment fits into classic penrose diagram ... ??well, i guess that that's part of stuff that we already mentioned above ... about using polynomial exponential map to understand how flat space-time fits into its conformal completion and so forth ... but maybe worth emphasizing as being a particularly simple thing to try to straighten out... just by drawing picture superimposed on vanilla penrose diagram ...