Results 111 - 120 of 24651

We present here the first part of Jorge Garza-Vargas’s three-part mini-course on the strong convergence phenomenon, from our ICM Satellite Conference on Spectral Theory, High-Dimensional Expansion, and Pseudorandomness. The course introduces and motivates the notion of strong convergence, discusses recent proof techniques, and showcases concrete applications.

High-dimensional expansion (HDX) is a generalization of expansion in graphs to higher dimensions (i.e., hypergraphs). In this first of three lectures from our ICM satellite conference, Mitali Bafna defines the spectral notion of HDX, proves the trickle-down theorem, and defines random walks on HDX.