![Summer Cluster: Error-Correcting Codes and High-Dimensional Expansion](/sites/default/files/styles/workshop_banner_sm_1x/public/2024-05/HDX%26ECC_RGB.jpg?h=45b37eaa&itok=2hTEgJSY)
Abstract
We will study simplicial complexes, their links, and the definition of link expansion. We will focus on the local to global nature of these objects: local information on the links is powerful enough for deducing global structure. We will describe some examples of this phenomenon relating to list decoding, agreement testing.