so what about the vague general idea of ... ??trying to apply rational homotopy theory to the study of algebraico-geometric theories (or something...) in a "straightforward" way... besides possible more peculiar ways i might vaguely have in mind ... ???...

what about "extra structure (or something...) that the (unstabilized and/or stabilized...) fundamental infinity-groupoid of a space gets when the space becomes a complex algebraic variety"?? and so forth... (??something about "gaga" here...??...)