Some combinatorics of affine sl(n) crystals.

Abstract: 

The crystals of the irreducible highest weight representations for affine $sl(n)$ have been studied extensively, and have various combinatorial models. We will discuss a few of these models, their structure, and how they are related. In particular, we will discuss a recent model where the vertices are indexed by cylindric plane partitions. In some cases this model leads to particularly clean statements.