Elementary High-Dimensional Expanders from Chevalley Groups
October 6, 2021

Abstract: High-dimensional expanders are a relatively new class of objects that have motivated work on quantum LDPC codes, locally testable codes, and the resolution of the Mihail-Vazirani conjecture on matroids. Despite this, there are only two known families of (local) high-dimensional expanders. In this talk I will discuss constructions of several new families obtained in joint work with Ryan O'Donnell. This generalizes a previous construction due to Kaufman and Oppenheim.