## Introduction to high dimensional expanders

Irit Dinur

Weizmann Institute of Science; Visiting Professor, School of Mathematics

March 10, 2020

High dimensional expansion generalizes edge and spectral expansion in graphs to hypergraphs (viewed as higher dimensional simplicial complexes). It is a tool that allows analysis of PCP agreement rests, mixing of Markov chains, and construction of new error correcting codes. My talk will be devoted to proving some nice relations between local and global expansion of these objects.