  We suggest a possible programme to associate geometric "flag-like" data to an
arbitrary simple quantum group, in the spirit of the noncommutative algebraic
geometry developed by Artin, Tate, and Van den Bergh. We then carry out this
programme for the standard quantum SL(n) of Drinfel'd and Jimbo, where the
varieties involved are certain T-stable subvarieties of the (ordinary) flag
variety.
