High Dimensional Expanders
Group Theory
2017-12-08 v1 Combinatorics
Geometric Topology
Representation Theory
Abstract
Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways (cf. [Lub94], [HLW06], [Lub12] and the references therein). In the last decade, a theory of "high dimensional expanders" has begun to emerge. The goal of the current paper is to describe some paths of this new area of study.
Cite
@article{arxiv.1712.02526,
title = {High Dimensional Expanders},
author = {Alexander Lubotzky},
journal= {arXiv preprint arXiv:1712.02526},
year = {2017}
}
Comments
Paper to be presented as a Plenary talk at ICM 2018