  This survey paper describes Springer fibers, which are used in one of the
earliest examples of a geometric representation. We will compare and contrast
them with Schubert varieties, another family of subvarieties of the flag
variety that play an important role in representation theory and combinatorics,
but whose geometry is in many respects simpler. The end of the paper describes
a way that Springer fibers and Schubert varieties are related, as well as open
questions.
