Renowned composer and pianist William Bolcom discusses his career as a composer and performer with Artist-in-Residence Derek Bermel.
Tommasini discusses his role as a music critic.
I will first give an overview of several constructions of graph sparsifiers and their properties. I will then present a method of sparsifying a subgraph W of a graph G with optimal number of edges and talk about the implications of subgraph sparsification in constructing nearly-optimal ultrasparsifiers and optimizing the algebraic connectivity of a graph by adding few edges.
The talk is based on joint work with Makarychev,Saberi,Teng.
I will survey some constructions of expander graphs using variants of Kazhdan property T . First, I describe an approach to property T using bounded generation and then I will describe a recent method based on the geometric properties of configurations of subspaces in a finite dimensional Euclidean space.