The geometry and combinatorics of Springer fibers
Algebraic Geometry
2016-06-10 v1 Combinatorics
Representation Theory
Abstract
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.
Cite
@article{arxiv.1606.02760,
title = {The geometry and combinatorics of Springer fibers},
author = {Julianna Tymoczko},
journal= {arXiv preprint arXiv:1606.02760},
year = {2016}
}
Comments
18 pages