real grassmannians' uses in geometry are manifold, but in general, their integral (co)homology groups were unknown. until now. i won't stiefel myself any longer, and i will (co)change your views on this class of manifolds. at the end of this talk, you should be able to differentiate grassmannian manifolds and feel right at (co)home with them, k? this talk will blow up your mind, link some ideas you may not have heard of, and you'll take an exit-path out with your mind (po)set straight.