Representation Stability

Abstract

Representation stability is a phenomenon whereby the structure of certain sequences $X_n$ 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.

Contribution to Proceedings of the ICM 2014, Seoul

Cited by in corpus (2)

• FI-modules and the cohomology of modular representations of symmetric groups
• Noetherian property of infinite EI categories