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arXiv:1712.02526 [math.GR]AbstractReferencesReviewsResources

High Dimensional Expanders

Alexander Lubotzky

Published 2017-12-07Version 1

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.

Comments: Paper to be presented as a Plenary talk at ICM 2018
Categories: math.GR, math.CO, math.GT, math.RT
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