schubert curves are the spaces of solutions to certain one-dimensional schubert problems involving flags osculating the rational normal curve. the real locus of a schubert curve is known to be a natural covering space of $rp^1$, so its real geometry is fully characterized by the monodromy of the cover. it is also possible, using k-theoretic schubert calculus, to relate the real locus to the overall (complex) riemann surface. we present a local algorithm for computing the monodromy operator in terms of jeu de taquin-like operations on certain skew young tableaux, and use it to provide purely combinatorial proofs of some of the connections to k-theory. we will also explore partial progress in this direction in the type c setting of the orthogonal grassmannian. this is joint work with jake levinson.