English

Representation Stability

Geometric Topology 2014-04-17 v1 Algebraic Topology Representation Theory

Abstract

Representation stability is a phenomenon whereby the structure of certain sequences XnX_n of spaces can be seen to stabilize when viewed through the lens of representation theory. In this paper I describe this phenomenon and sketch a framework, the theory of FI-modules, that explains the mechanism behind it.

Keywords

Cite

@article{arxiv.1404.4065,
  title  = {Representation Stability},
  author = {Benson Farb},
  journal= {arXiv preprint arXiv:1404.4065},
  year   = {2014}
}

Comments

Contribution to Proceedings of the ICM 2014, Seoul

R2 v1 2026-06-22T03:51:45.177Z