Abstract:
Crystals provide combinatorial models for representations of
semisimple Lie algebras.  For sl_n, the semistandard Young tableaux
provide a convenient way for describing crystals.  Another geometric
description of these crystals is provided by components of n-step
Springer fibres.  These geometric and combinatorial descriptions are
linked by a natural bijection.  A convenient generalization of Young
tableaux is provided by the theory of reverse plane partitions on
minuscule heaps.  I will explain how these RPPs are naturally in
bijection with components of quiver Grassmannians for preprojective
algebra modules.