# zbMATH — the first resource for mathematics

Representation stability. (English) Zbl 1373.55006
Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1173-1196 (2014).
Summary: 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.
For the entire collection see [Zbl 1314.00104].

##### MSC:
 55N99 Homology and cohomology theories in algebraic topology 55R80 Discriminantal varieties and configuration spaces in algebraic topology 14F20 Étale and other Grothendieck topologies and (co)homologies 11T06 Polynomials over finite fields
Full Text: