so we should try to actually explicitly develop the idea of expressing schubert varieties as "de-stacky-izations" of certain stacks...

for example the singular 2d b2 schubert variety...

so let's consider the point <(1,0,1,0,0)> in the projective light cone of pseudo-euclidean (2,3)-space...

(a,b,c,d,e)

a^2+b^2 = c^2+d^2+e^2

a=c

b^2 = d^2+e^2

????

??so is it something like... ??the schubert variety here is "the light cone in the conformal compactification of pseudo-euclidean (1,2)-space"? perhaps this is somewhat retrospectively obvious (if correct), but did we quite notice it before?? i guess that we did notice that the ambient variety is that conformal compactification, so we should have noticed that the schubert variety is the light cone... except i guess that we did notice that it's _a_ "light cone", but that we weren't completely sure whether there's a _the_ light cone here... ??or something??... i guess that there is though... ??...

we did think about the big bruhat cell... and about segal's cosmology a bit... hmm, i also have a vague memeory, i think, of thinking about how two "complementary" bruhat classifications overlap here (i found some notes about this stuff in my windows journal notebook "huerta-dolan-discussion-1", around page 36-40 or so...) ... how the big bruhat cell is the complement of one of the light cones, while the other one lies partly in it... i guess that we should try harder to visualize this though... in the (2,2) and (2,3) cases... and also the (2,4) case to the extent that it makes sense, since i think that that's where segal's cosmology lives...

hmm, in the (2,2) case, the picture of the overlapping bruhat classifications that i'm getting suspiciously reminds me of the pictures of peirce's quincunxial conformal map projection and "world map wallpaper" and gauss's lemniscate... which is a bit peculiar because that stuff is about signature (0,2) rather than (1,1)... though now i'm also thinking about penrose diagrams... ???.... (i mean the "conformal signatures" (0,2) and (1,1) here, associated with the pseudo-euclidean signatures (1,3) and (2,2) respectively...)

??so suppose that you're living in a 2d spherical spatial universe... consider the expanding light ripple of an event... coming into focus at the antipodal point of the spatial universe... ???....